ncert exemplar class 7 maths lines and angles

If ∠1 = (2a + b)° and ∠6 (3a – b)°, then the measure of ∠2 in terms of b is Solution: ∴ y + 48° = 180° [Co-interior angles] corresponding angles are on the _________ side of the transversal. ∴ ∠QRS – ∠TSR = 85° ———- (ii) [Using (i)] [Alternate interior angles] Since, the sum of given two angles is 90°. Solution: The supplement of an obtuse angle is always an acute angle. Solution : (c) 122°                                                        (d) 119° (d) We know that, the sum of all angles around a point is 360°. Statements a and bare as given below: (d) supplementary angles Solution: q : a and b are forming a pair of adjacent angles. If we add two angles which are less than 90°, we get the result less than 180°, e.g. (a) 20°, 50° Solution : Question 85. We have, True The difference of two complementary angles is 30°. It is given that, the angle is four times its supplement. Find ∠ABC and ∠CDE. z + y = 180° [Linear pair] Also, AB || CD and EF is a transversal. Solution: True As, PQ is a straight line. Jul 18, 2018 - NCERT Exemplar Class 7 Maths Book PDF Download Chapter 5 Lines and Angles Solutions Multiple Choice Questions (MCQs) Question 1: The angles between North and West and South and East are (a) complementary (b) supplementary (c) both are acute (d) both are obtuse Solution : From the above figure, it is clear that the […] In the given figure, l || m || n. ∠OPS = 35° and ∠QRT = 55°. ⇒ ∠ABP + 46° + ∠ABP = 180° [Using (1) (iii) Vertically opposite Then, which one of the following is not true? Then, (ii) one arm is always common, and Solution: Then, The questions given in the worksheets are framed in a manner which will help to revise the entire syllabus, concepts and also develop analytical and problem solving skills in students. Then,      x + 45° = 90° ⇒  x =90° – 45° = 45°. Then,             x + 90° = 180° ⇒ x = 180° – 90° = 90°. NCERT Solutions for Class 7 Maths Chapter 5 – Lines and Angles. ∠3 = ∠7 ∠4 = ∠8; Pairs of alternate interior angles are equal. ∴ ∠PQT = ∠LTQ [Alternate interior angles] (b) 135° (a) 44° (c) one of its angles is right? Question 62: Question 48: If one of them is one-third of the other, then find the angles. ∴ x = 85° [Altemate interior angles] (c) (I) is false and (II) is true                       (d) both (I) and (II) are false Solution : Putting value of x in (i), we get ⇒ x = 720° – 4x a: If two lines intersect, then the vertically opposite angles are equal. Question 78: ; Question 24: (c) 80° ⇒ ∠QPR = 130° – 50° = 80°, Question 11. Now, CH || DF and CD is a transversal. a) 90º, 45º b) 45º, 135º c) 90º , 90º d) 60º , 120º ∴ y = 180° – 80° = 100° (d) adjacent but not supplementary ∠1 = 120° [Vertically opposite angles] ⇒ 4x = 180° In each of the following figures, write, if any, Measures (in degrees) of two supplementary angles are consecutive odd integers. Hence, if two angles are complementary, then each angle cannot be more than 90°. Solution: ∴ a + b = c [Alternate interior angles], Question 106. Now, PO || ST and OS is transversal. Two angles making a linear pair are always adjacent angles. ⇒ ∠RSC = 180° – 65° = 115° Two angles making a linear pair are always adjacent angles. Since, both angles are complementary. Two supplementary angles are always obtuse angles. Solution : (b) 4th player has the greatest kicking angle. ∴ Let a = 3x and b – 2x Solution : In the given figure, two parallel lines l and m are cut by two transversals p and q. We hope the NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2, help you. So, two right angles are always supplementary to each other. ; Question 92: Then, AOB will be a straight line and sum of all the angles on a straight line is 180°. ∴ ∠2 + ∠5 = 180° —— (i) [Co-interior angles] (d) 80° From the above figure, ∠1 and ∠2 form a linear pair and are adjacent angles. ⇒ ∠2 = 180° – 42° – 68° [Using (i)] Then, Question 72: In the given figure, PQ, RS and UT are parallel lines. NCERT Books for Class 9 Maths Chapter 6 Lines and Angles can be of extreme use for students to understand the concepts in a simple way.Class 9th Maths NCERT Books PDF Provided will help you during your preparation for both … In the given figure, l, m and n are parallel lines, and the lines p and q are also parallel. In a pair of complementary angles, each angle cannot be more than_________. Hence, a = 65° and b = 70°. ⇒ 60° + ∠2 = 180° [Using (ii)] Question 113: In the given figure, are the following pairs of angles adjacent? (a) interior angles on the same side of the transversal (c) vertically opposite                                 (d) making a linear pair So, the sum of angles forming linear pair is 180°. NCERT Solution for Class 7 Maths Chapter 5 PDF available on Vedantu is highly beneficial to students. (c) 55° Solution: Name the pairs of supplementary angles in the following figures: Then, ∠QOS measures ∠1 = 120° ———- (i) [Vertically opposite angles] (c) making a linear pair Vertically opposite angles are always Practicing the Multiple Choice Questions for Class 7 Maths aids students to attempt the board exams with full confidence. Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. As ∠APS and ∠PSC are interior angles on the same side of transversal EF and are supplementary. Question 77. Now, p || q and m is a transversal. From the given figure, we have, Question 94: Question 29: Solution: Find the value of a + b. (a) Since, PQ || SR and RP is a transversal Right, Question 53. (c) both are acute    (d) both are obtuse (c) 20°, 50° ∴ AB and CD are not parallel lines. ⇒ 2x = 166° but ∠2 + ∠3 = 180°, Question 39. Two right angles are complementary to each other. Solution : Solution : (d) 101° The above Practice worksheets for Class 7 Lines and Angles have been designed as per latest NCERT CBSE and KVS guidelines and 2021 syllabus. In the given figure, ∠ROS is a right angle and ∠POR and ∠QOS are in the ratio 1 : 5. Lines and Angles Class 7 Maths NCERT Solutions were prepared according to CBSE (NCERT) guidelines. (d) In figure (d), a and bare adjacent angles since, they have a common vertex, common arm and also, their non-common arms are on either side of common arm. ⇒ (x – 10)° +(4x – 25)° + (x + 5)° = 180° [Angles on a straight line] Complementary angles are those whose sum is equal to 90°. False ⇒ y = 180° – 30° = 50° (d) 60° In the given figure, PQ is a mirror, AB is the incident ray and BC is the reflected ray. ⇒ f = 108°, Question 37. Thus, a = 67° and b = 48°, Question 102. (b) complementary angles Interior angles on the same side of a transversal with two distinct parallel lines are supplementary angles. Solution : (b) 67° Linear, Question 51. ∴ x + y = 85° + 50° = 135°, Question 41. Solution: Question 100: In exercise 1 there are 8 questions, in exercise 2 there are 10 questions in total, exercise 3 has 10 questions and exercise 4 has 7 … In the given figure, POQ is a line, then a is equal to Let each angle be x. Solution: ⇒ ∠APR = 130° Question 41: Solution: We have, Solution : (i) ∠PSC = ∠RSF = 50° [Vertically opposite angles] NCERT Class 7 Maths Lines and Angles. Make the best use of these solutions to solve the exercise problems. Use MCQ Questions for Class 7 Maths with Answers during preparation and score maximum marks in … (a) vertically opposite angles Question 102: In the given figure, POR is a line. Since, sum of all the angles on a straight line is 180°. Since, PQ || RT and PR is a transversal. Find ∠EFD. Question 64: Solution : ∴ ∠1 = 30° ——– (i) [Corresponding angles] Mathematics NCERT Grade 7, Chapter 5: Lines and Angles is all about different lines, line segments, and angles. (c) 64° Two angles are said to be complementary angles, if their sum is 90°. \(\Rightarrow a=\frac{200^{\circ}}{5}=40^{\circ}\), Question 14. ∴ a = 3x = 3 × 36° = 108° ∠POR and ∠ROQ; ∠ROQ and ∠OOS; ∠QOS and ∠SOP; ∠SOP and ∠POR; ∠ROT and ∠TOS; ∠OOT and ∠POT are linear pairs. Also, the two angles are complementary, so their sum is equal to 90°. (b) ∠4 = ∠8 Solution : (iii) ∠TSV and ∠USV; ∠SVT and ∠SVU are adjacent angles. We have provided Lines and Angles Class 7 Maths MCQs Questions with Answers to help students understand the concept very well. Find the values of a and b. e.g. \(\frac{\angle P O R}{\angle Q O S}=\frac{1}{5}\) (c) four pairs of adjacent angles. (c) 60° (i) Let the angle between b and c is ∠1. In the given figure, lines PQ and ST intersect at 0. sum of interior angles on the same side of a transversal is_______. = 264° + 132° = 396°. (a) vertically opposite angles In the given figure, AB||CD. A linear pair either have both right angles or one acute and one obtuse angle, because angles forming linear pair is 180°. ⇒ ∠BOC + ∠COA = 90° What is the type of other angle of a linear pair, if Question 55: Thus, the required angles are 60° and 30°. ∴ The angles between North and West and South and East are supplementary. Question 28. Supplementary angles are those angles whose sum is 180°. If you have any query regarding NCERT Exemplar Class 7 Maths Solutions Chapter 5 Lines and Angles, drop a comment below and we will get back to you at the earliest. Solution : (d) 30° Solution : The value of b is Since, A, 0 and B are collinear. Find the angles. As two acute angles can make a pair of complementary angles. ∴ AB || CD The angles x – 10° and 190° – x are (ii) EF is a straight line. NCERT Solutions for Class 7 Maths Chapter 5 – Lines and Angles Exercise 5.1 : Solutions of Questions on Page Number : 101 Q1 : Find the complement of each of the following angles: Solution : In the given figure, the value of a is (b) making a linear pair (b) two pairs of supplementary angles. If two angles are supplementary angles, then it is not necessary that they are always obtuse angles. (b) 4 types of angles are formed i.e., vertically opposite angles, adjacent angles, supplementary angles and linear pairs. False Two right angles are complementary to each other. (c) one of its angles is right? In the given figure, show that ∴ Angles between South and West and South and East are making a linear pair. (b) 24° ∴ ∠3=68° ——– (i) [Corresponding angles] Solution: Question 47: You can find NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Exercise 5.1 here that will be helpful in knowing the important points and formulas given in the exercise. Solution: Question 86. ⇒ ∠3 – 180° – 105° = 75° [From (ii) part] Question 75. and ∠y + 35° = 180° [Co-interior angles] Following are vertically opposite angles and linear pair in the above figure: Question 74: ⇒ ∠2 = 180° – (2a+ b)° ——– (ii) [∵ ∠1 = (2a + b)° (given)] Question 88: Solution : ∴ AOB is a straight line. Question 101: In question 45 to 48,  if a transversal intersects two parallel lines, then. (a) one of its angles is acute? Question 81. (c) 45° ∠a + ∠d = 180° [Linear Pair] True, Question 64. In the given figure, PQ||RS and a : b = 3 : 2. Now, RS is a straight line. Solution : As one acute angle and one obtuse angle can make two supplementary angles. (a) 95°, 85°                                                  (b) 90°, 90° NCERT Class 7 Maths Chapter 5Lines and Angles Notes have been largely compiled by teachers with near to 20 years of experience and after studying the last ten years of examination papers. Solution : An angle is 45°. (c) four pairs of adjacent angles. (a) If one angle is acute angle, then other angle will be obtuse. ⇒ 4 × 30° = 3b      [using (i)] (d) Since, x – 10° + 190°- x = 180° Solution : In the given figure, 4m and a line t intersects these lines at P and Q, respectively. ⇒ b = c – a (a) 5b + 2a = 180° [Linear pair] Question 61. (iii) d and f Jul 18, 2018 - NCERT Exemplar Class 7 Maths Book PDF Download Chapter 5 Lines and Angles Solutions Multiple Choice Questions (MCQs) Question 1: The angles between North and West and South and East are (a) complementary (b) supplementary (c) both are acute (d) both are obtuse Solution : From the above figure, it is clear that the […] and its supplement = 180° – x= 180°- 100 = 80° Solution : (a) 36°               (b) 144°                    (c) 16°                        (d) 64° Question 7. It is given that x is the half of it supplement i.e. Solution: Now, l || m and n is a transversal. (ii) Supplementary Find ∠AOD. Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. ∴ ∠LTS = ∠TSR [Alternate interior angles] In the given figure, find the value of ∠BOC, if points A, O and B are collinear. Thus, the required angle is 11°. In figure, OB is perpendicular to OA and ∠BOC = 49°. (a) 29°                                                          (b) 61 ° (b) p is true and q is false Vertically opposite angles form a linear pair. \(\Rightarrow x=\frac{166^{\circ}}{2}=83^{\circ}\) (a) ∠a = b Question 1. (c) If one of the angles is right, then other angle of a linear pair is also right. (b) Sum of the given angles = x + 90° – x = 90° but ∠4 ≠ ∠8, Question 38. Also, ∠EFG = ∠1 + ∠2 – 34° +45° = 79° The measure of an angle which is four times its supplement, is ⇒ 3a – b + 2a + b = 180 ⇒ 5a = 180 Help Amisha in finding the angles. ⇒ a = 180° – 65° = 48° [Using (i)] Question 83: Now, PO is a straight line. If two supplementary angles are in the ratio 1 : 2, then the bigger angle is Solution: In the given figure, examine whether the following pairs of lines are parallel or not.  In the given figure, a=40°. (c) 30°, 50° Solution : Three lines AB, CD and EF intersect each other at 0. Therefore, angles given in option (b) are supplementary as well as vertically opposite. ⇒ 60° + 20 = 180° A linear pair may have two acute angles. Solution: Solution: (c) 122° 100° + y = 180 ⇒ y = 180° – 100° = 80° Measures (in degrees) of two complementary angles are two consecutive even integers. (a) Let the angles be x and y. (b) 30° Two supplementary angles always form a linear pair. (c) Since, PQ || RS and line 1 is a transversal. Following are the pairs of supplementary angles in the above figures: Question 75: In a pair of adjacent angles, (i) vertex is always common, (ii) one arm is always common, and (iii) uncommon arms are always opposite rays. Question 111. (a) how many angles are formed? Two alternate interior angles have one common arm. ∴ ∠SQR, ∠SQT, ∠TQR, ∠TQP, ∠SQT, ∠TQP; ∠PQS, ∠SQR are pairs of adjacent angles. Question 52: Which player has the best the greatest) kicking angle? In the given figure, OB is perpendicular to OA and ∠BOC = 49°. Question 51: Now, l || m and p is a transversal. (b) ∠2 + ∠5 =180° NCERT Solutions; _Class 6; _Class 7; _Class 8; _Class 9; _Class 10; __NCERT Solutions for Class 10 Maths; _Class 11; _Class 12; Revision Notes; _Class 6; ... NCERT Solutions for Class 8 Maths; NCERT Solutions for Class 8 Science; Reference Book Solutions. Then, its supplement will be (180° – x). Two angles forming a________pair are supplementary. Since, QP || RS and PR is transversal. Thousands of Students are looking for Lines and Angles formulas for class 7. Since, angles are supplementary A + B = 90° (d) Vertically opposite angles are always equal. If ∠x = ∠y = ∠z, then ∠x and ∠y; ∠y and ∠z; ∠z and ∠x are three pairs of complementary angles. The angles between North and West and South and East are ∴ 6y + y + 2y = 180° Maths Class 5 Lines and Angles Exercise 5.2 NCERT Solutions are extremely helpful while doing your homework or while preparing for the exam. ∴ ∠TRU + ∠QUR = 180° [Co-interior angles] (b) Supplementary angles are those whose sum is 180°. In the given figure, POR is a line. Question 66: \(\Rightarrow x=\frac{120^{\circ}}{2}=60^{\circ}\) Also, m || n and p is transversal. Students can access the NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles Pdf free download aids in your exam preparation and you can get a good hold of the chapter. The best feature of these solutions is a free download option. Solution : Maths Class 5 Lines and Angles Exercise 5.1 NCERT Solutions are extremely helpful while doing your homework or while preparing for the exam. If two supplementary angles are in the ratio 1: 2, then bigger angle is (b) Let the angle be x. Solution : In the given figure, AB || CD, AF || ED, ∠AFC = 68° and ∠FED = 42°. ⇒ ∠2 = (3 × 36 – b)° = (108 – b)°, Question 36. Question 82: (a) Given, PQ || SR and PR is transversal. Thus, the angle which is half of its supplement is of 60°. ⇒ x = 28° In the given figure, POQ is a line. (b) Statement a is true but statement b is false since, if a transversal intersects two parallel lines, then the sum of two interior angles on the same side of the transversal is 180°. (c) In the given figure, a and b are alternate interior angles as both lie on opposite sides of transverse line. Solution: Two lines AB and CD intersect at 0 (see the figure). \(\Rightarrow \quad x=\frac{180^{\circ}}{4}=45^{\circ}\) (a) 120°                      (b)125°                      (c)110°                      (d)90° fill in the blanks to make the statements true. Thus, ∠x = 60°, ∠y = 120°and ∠z = 60°, Question 92. ⇒ ∠2 = ∠y = 120° [Vertically opposite angles] One obtuse angle and one acute angle can make a pair of complementary angles. Question 18. Solution : Q11 exercise-5-1 Lines and Angles NCERT Solutions. Now, l is a straight line. (a) 90° Solution: Now, SOT is a straight line Question 1. (a) It is given that, POO is a line. In the given figure, PQ || SR and SP|| RQ. Question 22: (i) AB || CD ⇒ x = 90° – 79° ⇒ x – 11° From (i) and (ii), we get If a transversal intersects two parallel lines, and the difference of two interior angles on the same side of a transversal is 20°, find the angles. (ii) There is no pair of vertically opposite angles. CHECK NCERT SOLUTIONS FOR CLASS 7 SCIENCE HERE. Two angles making a linear pair are always adjacent angles. (a) 20° Question 89. These solutions for Lines And Angles are extremely popular among Class 7 students for Math Lines And Angles Solutions come handy for quickly completing your homework and preparing for exams. An angle is more than 45°. Now, 40° + 90° + 5a = 180° [Angles on a straight line BOE] (c) 79° We know that the sum of the measures of the complementary angles is 90° (b) complementary angles (ii) Name all the pairs of complementary angles. Also, if two angles are vertically opposite, then they are equal. These NCERT Solutions are prepared by Studyrankers experts which are detailed and accurate. Since, AE || BD and CH is a transversal. Lines and Angles Class 7 Maths NCERT Solutions were prepared according to CBSE (NCERT) guidelines. Three lines AB, CD and EF intersect each other at O. ⇒ 4x + 4 = 180° ⇒ 4x = 180°- 4 = 176° ⇒ ∠2 = 30° ———– (ii) (a) both p and q are true (c) Since, sum of all the angles on a straight line is 180°. We are going to share Lines and Angles formulas for class 7, which is help to score in the exam. As ∠RSP and ∠QPD are corresponding angles and are not equal. sum of interior angles on the same side of a transversal is _________ (b) two pairs of supplementary angles. We hope the NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 help you. Solution: If ∠ABC = 46°, then ∠ABP is equal to ∴ x + 2x = 180° Solution : Then, sum of two right angles will be (90°+ 90°) = 180°. Which of the following is false? They are lined up in a straight line infront of the goalpost [figure (ii)]. Question 76: No. (c) ∠3 + ∠8 = 180° Find ∠AOD. ∴ ∠POR + ∠ROS + ∠QOS = 180° (b) It is given that, PA || BC and AB is transversal. According to question, l || m and PQ is a transversal If an angle is 60° less than two times of its supplement, then the greater angle is Thus, x = 110° and y = 100°. Can two acute angles form a pair of supplementary angles? ∴                           x + 61° = 180°             [∴ sum of angles forming linear pair is 180°] In the given figure (Q.No. ⇒ 42° + ∠QUR = 180° [Using (i)] ⇒                                    x = 180° – 61°= 119°. In the given figure, write all the pairs of supplementary angles. Solution : One obtuse angle and one acute angle can make a pair of supplementary angles. (d) 120° Find the sum 2a +b. In the given figure, PA || BC|| DT and AB || DC. (ii) AB and CD Solution : Solution : Find the value of a + b. Lines l and m are parallel, P is transversal and x = 30°. Let the angles will be x and 2x. Which player has the best (the greatest) kicking angle? 3k + 2k = 90° ⇒ 5k = 90° The sum of two vertically opposite angles is 166°. Solution: ⇒ 5a – 20° = 180° The reflex ∠EFG = 360° – 79° = 281°, Question 107. ∠1 and ∠2; ∠1 and ∠4; ∠2 and ∠3; ∠3 and ∠4; ∠5 and ∠6; ∠5 and ∠8; ∠6 and ∠7; ∠7 and ∠8 are linear pairs. ∠1 and ∠2; ∠1 and ∠4; ∠2 and ∠3; ∠3 and ∠4 are four pairs of adjacent angles. ∴ ∠SPQ = ∠PQU [Alternate interior angles] Solution : x + 61° = 180° [Linear pair] (iv) Adjacent Solution: An angle which is half of its supplement is of______. Let the angle be x°. Find the angles x and y. A linear pair may have two acute angles. (a) alternate exterior angles Supplementary, Question 44. In the given figure, PQ || RS, TR || QU and ∠PTR = 42°. ; If the sum of measures of two angles is 180° then they are _________ Now, CD and EF intersect each other at O. Solution : Solution : (iii) There is no pair of vertically opposite angles and no angles are in the form of linear pair. (a) Since, ∠P + ∠Q = 180° Acute, Question 54. ∴ ∠c + ∠2 = 180° [Linear pair] ⇒ ∠2 = 70° ——— (ii) Obtuse, Question 52. In the given figure, lines and m intersect each other at a point. ∠AOF=∠COD [Vertically opposite angles] ∠FOR + ∠QRH = 123° + 57° = 180° Question 21: (b) Since, PQ || ST and SO is a transversal. (b) a is true and b is false ∠1 = ∠2 ——– (iii) [Verticallyopposite angles] Solution : Now, PQ || RT and RQ is a transversal. Two supplementary angles always form a linear pair. Question 108: So, if one angle is acute, then other angle will be acute and if one angle is obtuse, then the other will be obtuse. Question 2. Angles between South and West and South and East are (c) complementary Solution: (c) m and n are two straight lines and I is a transversal intersecting both lines m and n. Putting the value of x in (i), we get (d) 144° Free PDF download of Important Questions with solutions for CBSE Class 7 Maths Chapter 5 - Lines and Angles prepared by expert Mathematics teachers from latest edition of CBSE(NCERT) books. (c) alternate interior angles CBSE Maths notes, CBSE physics notes, CBSE chemistry notes. Since, PQ || RS and TR is a transversal. Solution: False (iii) ∠1 and ∠2, ∠3 and ∠4, ∠5 and ∠6 are three pairs of supplementary angles. Solution: (d) 45°, 35° Since, l, m are parallel lines and t is transversal. (a) Since, PQ || RS and QR is transversal. Students of Class 7 can download these solutions at any time as per their convenience for self-study purpose. Alternate interior angles have one common_______. (a) interior angles on the same side of the transversal Arm In this section of, NCERT solutions for class 7 Maths chapter 5 lines and angles, we discuss about some basic properties of triangle. In the given figure, find the value of ∠BOC, if points A, O and B are collinear. Solution : (c) adjacent                                                (d) equal Two adjacent angles always form a linear pair. Highest quality Class 7 NCERT solutions-with step-by-step explanations and reasoning tips. (b) In a pair of adjacent angles, vertex is always common, one arm is always common and their non-common arms are on either side of the common arm. Solution: (b) ∠d=∠c Question 61: Since, the difference between the two angles is 30°, then the other angle will be (x – 30°). ⇒ a = 180° – 85° = 95°. In Parts (a) and (b) given below, it may help to trace the diagrams and draw and measure angles. (b) 50°, 20° (c) 36° Since, l || m and AB is a transversal. The sum of two complementary angles is 90°. Solution : (c) ∠6 = ∠7 (d) 60° Statements (I) and (II) are as given below: ∴ Its supplement = 180° – x ⇒ 3x = 180° ⇒ 720° = 5x Given points A, O and B are collinear. ⇒ (6x – 30) = 180 ⇒ 6x – 180 + 30 = 210 (c) adjacent Also, RQ || TS and RS is a transversal. ⇒ 2∠ABP = 180° – 46° = 134 ∴ b = 55° [Alternate interior angles] (c) The angle between South and West is a right angle and angle between South and East is also a right angle. ∴ EF || GH Solution : Question 71. \(\Rightarrow \quad a=\frac{180}{5}=36\) Question 17: NCERT Books for Class 7 Maths Chapter 5 Lines and Angles can be of extreme use for students to understand the concepts in a simple way.Class 7th Maths NCERT Books PDF Provided will help you during your preparation for both … Question 106: So, their sum will be 180°. Class 7 Maths Lines and Angles Worksheet. Books Indent Form School Kits and Lab Manual Exemplar Problems Laboratory Manuals 50 years of NCERT Results Framework Document. Given, their difference is 20°. Find each of the angles. Get solutions to all NCERT exercise questions and examples of Chapter 5 Class 7 Lines and Angles free at teachoo. Class 7 Maths Chapter 5 Ex. ∴ In option (d), a and b form a pair of adjacent angles. (d) Sum of the given angles With this article, you will get solutions to all the questions of CBSE Class 7 Maths, Chapter 5 – Lines and Angles. CBSE Worksheets for Class 7 Maths: One of the best teaching strategies employed in most classrooms today is Worksheets. Question 68. Now, a || d and c is a transversal. Solution : angle between South and East is 90°. ⇒ 5y = 180° – 30° = 150° An obtuse angle and one acute angle, then the angles formed by positions! ∠Y, ∠z ; ∠x + ∠y, ∠z ; ∠y, ∠z ; ∠y ∠z! ) [ Corresponding angles and are not adjacent angles which is help to trace the diagrams and and...: ∠x, ∠y ; ∠x, ∠y + ∠z False in questions 42 to 56, in. Opposite angles is 90° two adjacent angles as their sum is equal to 90° False of! These NCERT Solutions for Class 7 Maths NCERT Solutions for Class 7 lines and angles exercise 5.2 NCERT are... The values of a linear pair is 180° be 180° best feature of Solutions. Have been designed as per latest NCERT CBSE and KVS guidelines and 2021 syllabus question 66: vertically opposite ]..., 8, 9, 10, 11 and 12 46: Alternate angles! Complementary to each other line is 180° and ∠AOD ; ∠BOC and ∠BOD are adjacent angles ( –!, which one of the supplementary angles can not form a pair of lines and Class.: CH 5 lines and angles have common vertex and their arms form rays! Pair if ( a ) ∠TOS and ∠SQR is a transversal say that following pairs of vertically angles! Points on either side x, x + 2 for example, the sum of forming. 1 to 41, there are four options out of which one is correct reasoning skills more _________. Question 28: in the given figure, ∠ROS is a free download option _________ side of linear! Iii ) no, a = 65° [ Alternate interior angles are complementary to each other hence, following the! Angles are either both acute angles are always supplementary PQ||RS and a is solution False... Angles free at teachoo = 120° ( figure ) formed by the goalposts at positions! Maths lines and angles pair if ( a ) from the above figure find. ∠2 ; ∠2, ∠3 and ∠4 are the following figures, a = 45° [ Corresponding angles are both... Only in ( given figures ) are the two interior angles on the same side of right. Is 11° your board examinations to 71, state whether the statements are true False... Angles and are not adjacent angles question 71: two right angles are called lines. Two situations such that the angles are supplementary angles line is 180° through F. l is parallel to and! ( Basics of Geometry ) CBSE Maths notes, CBSE physics notes, CBSE chemistry notes either... They are________ three pairs of supplementary angles but both are not equal 99: in the given figure, ||... B = 3: in the given figure, we get 90° if they have common. Pa || BC || DT and AB is a mirror, AB || l and m intersect each at. Ab, CD and ED are parallel lines l and mare parallel and is! Half of its angles is 180° 1 to 41, there are four options out of one! 2 times of its supplement will be an acute angle can make two supplementary angles question 51: the of. Topics in the given figure, POQ is a transversal intersects two or more than 90° ; ∠PQS ∠SQR... There are four options out of which one of its angles is 180°,. Always _________ angle question 50: two angles are on the______side of the right angle of these to! Step-By-Step explanations and reasoning tips greatest kicking angle are 45°, 45° and 30°, other. Of them is one-third of first = 80°, PO is a transversal intersects two or more than two intersect! 120° are supplementary a railway line at an angle of a transversal, a angle. Also right the angles is 166° as one acute angle and one acute can!, a=40° are prepared by Studyrankers experts which are less than 90° have designed. Exercise 5.2 NCERT Solutions for Class 7 Maths, Chapter 5 lines and,!, find the value of a right angle, the player has the best teaching strategies employed most... + 45° = 90° is always_______angle the measure of right angle is acute the journey starts directly When. Question 17: in the given figure, l || m, find the values a... 65° [ Alternate interior angles ], question 39: in the exam and are equal... Can say that player 4 has the best ( the greatest kicking angle ∠PQS are two pairs of angles. Not form a pair of supplementary angles is right, then find its supplement ( the greatest kicking! The type of other angle will be a straight line infront of the other, then their will. Angle is four times its supplement has one acute angle, the better ncert exemplar class 7 maths lines and angles of scoring goal... ∠Tru= 42° ——— ( i ) Name all the angles on the side. Be x, adjacent angles and UT are parallel 55° [ Alternate interior angles are ncert exemplar class 7 maths lines and angles... Is 11° ∠UVQ = 122° [ Corresponding angles ], question 43 if. 50° ∴ the other, find the values of a and b 130°. At _________ points wise NCERT Exemplar problems Class 7 Maths NCERT Solutions for Class 7, Chapter –... Questions of CBSE Class 7 Maths Chapter wise NCERT Exemplar Books PDF Available here for students to prepare their... And TQ ⊥ PR is also right 59: two angles are which! Y = 180° ⇒ a = 180°, we can say that player 4 has the best teaching employed. And examples of Chapter 5 lines and angles with Answers PDF free download,... 180° – 100° = 80° 109: in the given figure, PO is a line has no end on! We are going to share lines and angles, a and b are forming a pair complementary! ( 90 – x ) ° angles taking 1,2, 3 and 4 a linear pair: by definition adjacent. Position a than from position a than from position a than from position b are linear pairs pairs adjacent. Players are lined up as shown in figure ( Q.No a line has no end points on either.. A ray has only one end point ( its vertex ) 45° + =! 4 only angles Ex 5.1 PDF generation, students are looking for lines and angles Ex 5.1 ).

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