Solution: (a) 36° Solution : True, Question 64. (a) 20° This chapter throws light on topics such as related angles, pair of lines. Hence, ∠a = 30°, ∠b = 150°, ∠c = 150°. (i) ∠1 and ∠3; ∠2 and ∠4; ∠5 and ∠7; ∠6 and ∠8 are four pairs of vertically opposite angles. A transversal intersects two or more than two lines at_________points. (iii) d and f (iv) c and f Solution: Hence, following are the pairs of supplementary angles: Question 84: Question 37: (c) If one of the angles is right, then other angle of a linear pair is also right. ∴ x + 61° = 180° [∴ sum of angles forming linear pair is 180°] Now, AB || DC and BC is a transversal. Find ∠EFD. ∴ ∠BCD = ∠CDT [Alternate interior angles] Interior angles on the same side of a transversal with two distinct parallel lines are complementary angles. Question 76: (d) making a linear pair Question 1. Hence, two situations are 45°, 45° and 30°, 60°. (c) both are acute \(\Rightarrow \quad k=\frac{90^{\circ}}{5}=18^{\circ}\) (d) supplementary Share this Video Lesson with your friends Support US to Provide FREE Education Subscribe to Us on YouTube Next > Try Further learning steps . NCERT Solution for Class 7 Maths Chapter 5 PDF available on Vedantu is highly beneficial to students. If two supplementary angles are in the ratio 1: 2, then bigger angle is It is given that, the angle 60° less than 2 times of its supplement. Question 100: Its complementary angle will be________. In the given figure, lines PQ and ST intersect at 0. Solution: Now, l is a straight line. In the given figure, OR ⊥ OP. ∴ ∠AOE + ∠EOD + ∠DOB = 180° ∴ EF || GH, Question 113. Solution : Question 68: (iii) Vertically opposite Solution : Complementary Question 2: (a) Let an angle be x. Pairs of interior angles on the same side of the transversal are supplementary. (b) a is true and b is false 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 … ⇒ ∠AOD = 180°- 41° [Using (1)] True Thus, m || n as the sum of co-interior angles is 180°. True In the given figure, if AB || CD, ∠APQ = 50° and ∠PRD = 130, then ∠QPR is In the given figure, lines PQ and ST intersect at O. ∴ Its complement = 90° – x ; Question 92: Solution: In the given figure, AB || CD, AF || ED, ∠AFC = 68° and ∠FED = 42°. (c) a is false and b is true ∴ a = 36 (b) 75° Two right angles are always supplementary to each other. It is given that both are supplementary angles. Let the two interior angles on the same side of transversal are x and y. 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. (d) vertically opposite angles Let the angle be x°. Solution: (a) 36° If two angles are supplementary angles, then it is not necessary that they are always obtuse angles. They are lined up in a straight line infront of the goalpost [figure (ii)]. (c) Estimate atleast two situations, such that the angles formed by different positions of two players are complement to each other. (a) 1° (b) 11° An angle is more than 45°. In the given figure, examine whether the following pairs of lines are parallel or not. Three lines AB, CD and EF intersect each other at O. (c) 45° Solution: (ii). Can two acute angles form a pair of supplementary angles? In the given figure, l || m and a line t intersects these lines at P and Q, respectively. Question 49: NCERT Solutions for Class 7 Mathematics CBSE, 5 Lines And Angles. In the given figure, if PQ || RS and QR || TS, then the value of a is ⇒ 4 × 30° = 3b [using (i)] (iii) d and f Register online for Maths tuition on Vedantu.com to score more marks in your examination. ⇒ ∠y = 180° – 35° = 145° Now, a + b = 180° [Angles on a straight line PQ] Solution: Solution : Write the correct one. (a) 120° 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. Question 40: Solution: All answers have been explained in a step by step manner with detailed solutions to each and every question.In this chapter, we will learn:What are line, ray, line segmentsWhat arecomple Solution: Question 74. Question 87: x + 61° = 180° [Linear pair] According to question, ∴ ∠5 = ∠8 [Alternate interior angles], Question 40. Also, BC || DT and DC is a transversal. (c) 110° ∴ ∠QRT = ∠RQU [Alternate interior angles] ∴ ∠COF = ∠EOD = 110° [Using (i)] [Vertically opposite angles] (i) Let the angle between b and c is ∠1. Then, \(x=\frac{1}{3}\left(180^{\circ}-x\right)\) (c) adjacent We have, (d) 154° Rs Aggarwal Solutions for Class 7 Math Chapter 13 Lines And Angles are provided here with simple step-by-step explanations. Also, m is a straight line. Solution: ∴ 6y + y + 2y = 180° Solution: Write all the pairs of adjacent angles by taking angles 1, 2, 3, and 4 only. Maths Lines and Angles part 1 (Basics of Geometry) Also, AB || CD and EF is a transversal. (b) 61° Solution: In the given figure, QP || RS. Practicing the Multiple Choice Questions for Class 7 Maths aids students to attempt the board exams with full confidence. In each of the following figures, write, if any, (i) each pair of vertically opposite angles, and (ii) each linear pair. ∴∠AOC + ∠BOC=180° When two lines intersect, then vertically opposite angles so formed are equal. ⇒ a = 180° – 100° = 80°. If the sum of measures of two angles is 180°, then they are________. Amisha makes a star with the help of line segments a, b, c, d, e and f, in which a || d, b || e and c || f. Chhaya marks an angle as 120° as shown in the given figure and Amisha to find the ∠x, ∠y and ∠z. (a) 44° Let the two consecutive angles be x and x + 2. (ii) No, a and b are not adjacent angles as they don’t have common arm. (d) Since, PQ || RS, line l is a transversal. ⇒ 130° = b We have, Let one angle be 2x + 1, then the other angle is 2x + 3. Question 66. (b) making a linear pair Let one angle be x. (b) Let the required angle be x. Question 6. In the given figure, AE || GF || BD, AB || CG || DF and ∠CHE = 120°. Hence, a = 65° and b = 70°. From the above figure, we can say that player 4 has the best kicking angle, as it is greatest. ⇒ x + y = 180° – 90° = 90° Thus, the required angle is 119°. (a) 40° In the given figure, the value of y is Solution : (a) supplementary (b) complementary Solution: In the given figure, lines and m intersect each other at a point. The angles between North and West and South and East are False ⇒ 6 ∠POR = 90° With this article, you will get solutions to all the questions of CBSE Class 7 Maths, Chapter 5 – Lines and Angles. Question 67: (a) 35° Here we have given NCERT Exemplar Class 7 Maths Solutions Chapter 5 Lines and Angles. Solution : (ii) ∠PQT and ∠PQR; ∠ORU and ∠QRP; ∠RPS and ∠RPQ are adjacent angles. The above Practice worksheets for Class 7 Lines and Angles have been designed as per latest NCERT CBSE and KVS guidelines and 2021 syllabus. Question 89. 60°: Let the angle be x. (a) 95° (i) vertex is always common, (c) The angle between South and West is a right angle and angle between South and East is also a right angle. Two angles making a linear pair are always adjacent angles. (c) alternate interior angles Parallel, Question 50. Solution : Solution : As ∠EPQ and ∠GQP are interior angles on the same side of transversal AB and are supplementary (ii) ∠x and ∠y are complementary angles. ∴ x + 66° = 180° [Co-interior angles] (a) 125° Question 51: \(\Rightarrow \quad a=\frac{120^{\circ}}{6}=20^{\circ}\) In the given figure, PQ || RT. What is the type of other angle of a linear pair, if Solution: In the given figure, PQ || RS and a : b =3 : 2. (b) Sum of the given angles = x + 90° – x = 90° (a) supplementary (c) 60° Solution : Question 68. As, if we subtract an obtuse angle from 180°, then result will be an acute angle, i.e. ⇒ 3x = 300° ⇒ 3a – b + 2a + b = 180 ⇒ 5a = 180 Since, both angles are complementary. Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. Following are vertically opposite angles and linear pair in the above figure: Question 74: Solution: (i) Linear pair Since, PQ and RS are parallel and TR is transversal. Vertically opposite angles form a linear pair. The angle The angles x and 90° – x are In the given figure, PQ || ST. Then, the value of x + y is (d) 120° Now, l || m and AC is a transversal. Solution: \(\Rightarrow x=\frac{120^{\circ}}{2}=60^{\circ}\) Solution : Question 112: Now, PO || ST and OS is transversal. Then, f is equal to Solution : In the given figure, a and b are ∴ ∠ABP = ∠CBQ ——– (1) ∴ These angles are complementary. NCERT Exemplar Class 9 Maths Unit 6 Lines and Angles. In the given figure, the value of x is (b) 60° [∵ ∠P and ∠Q are supplementary angles] According to question, Solution: Question 33: Question 85. (b) one of its angles is obtuse? ∴ y + 80° = 180° [Co-interior angles] An angle is more than 45°. ⇒ f = 108°, Question 37. Linear pair angles are supplementary angles as their sum is 180°. Question 64: (c) 70°, 110° ∠1 = 120° [Vertically opposite angles] Then, the angles are (c) PQ || RS, line l is a transversal. Question 86: (c) 13° Two angles making a linear pair are always supplementary. Now, 40° + 90° + 5a = 180° [Angles on a straight line BOE] (d) When two lines intersect, then vertically opposite angles so formed are equal. Then, which of the following is true? So, this player has the best kicking angle. Solution: 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 8: ∴ AB || CD Solution: We hope the NCERT Exemplar Class 7 Maths Chapter 5 Lines and Angles will help you. Solution: and 2x + 3 = 2 × 44° + 3 = 88° + 3 = 91° ⇒ 9y = 180° Topics in this lesson. Its complement -90° – x In the given figure, AB || CD. When the sum of the measures of two angles is 180°, the angles are called supplementary angles. (c) (I) is false and (II) is true (d) both (I) and (II) are false (d) Since PQ I RS and line 1 is a transversal. Since, l || m and q is a transversal a) 90º, 45º b) 45º, 135º c) 90º , 90º d) 60º , 120º (ii) one arm is always common, and Question 27: Solution : 2x + 2x + 2 = 90° Solution: Solution: Solution : ⇒ 3x = 180° CBSE Maths notes, CBSE physics notes, CBSE chemistry notes. Linear Now, ∠2-(3a – b)° [From (i)] (d) 30° Further, they are all designed with the latest academic year subject material so that any difference in the syllabus is accounted for as well. (b) 144° If the complement of an angle is 79°, then the angle will be of (b) 144° Solution : Supplementary, Question 44. Question 104. Solution: (d) ∠AOC and ∠BOC form a pair of supplementary angles. NCERT Exemplar Problems Class 7 Maths – Lines and Angles 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 … From (i) and (ii), we get Solution: Solution: Solution: Solution : Question 91: (b) Since, PA || BC and AB is a transversal. Question 104: Download printable worksheets for class 7 Maths and after you have solved the questions refer to the answers. Also, if two angles are vertically opposite, then they are equal. (b) Since, x + 90° = x – 90° l || n and q is a transversal. ∠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. ∴ ∠SQR, ∠SQT, ∠TQR, ∠TQP, ∠SQT, ∠TQP; ∠PQS, ∠SQR are pairs of adjacent angles. a = ∠1 + ∠2 = 60° + 30° = 90°. In the given figure, P, Q and R are collinear points and TQ ⊥ PR, From the given figure. 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. Solution: True Then Question 20: In the given figure, OB is perpendicular to OA and ∠BOC = 49°. If ∠AOE = 30° and ∠DOB = 40° (see figure), find ∠COF. Question 61: Angles between South and West and South and East are The supplement of an obtuse angle is always _________ angle. NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.1. acute angle and other is 120°, i.e. Solution: Maths Lines and Angles part 1 (Basics of Geometry) In the given figure, PQ||RS and a : b = 3 : 2. (a) Both statements p and q are true. 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. ∴ ∠COD = 90° \(\Rightarrow \quad x=\frac{210}{6}=35\) Solution : Find ∠PQR. (a) 13 angles are formed. They are lined up in a straight line in front of the goalpost [See fig.(i)). Thus, the angle which is half of its supplement is of 60°. ∴ Its supplement = 180° – x So, one is 60° i.e. [ ∵∠AOE = 30° and ∠DOB =40° (given)] Solution : NCERT Exemplar ProblemsNCERT Exemplar MathsNCERT Exemplar Science, Kerala Syllabus 9th Standard Physics Solutions Guide, Kerala Syllabus 9th Standard Biology Solutions Guide. = (x-x) + (190°-10°)=0 + 180°= 180° Solution : In the given figure, if QP|| SR, the value of a is Solution : Because linear pair is always in a straight line and straight line makes 180° angle. Solution : Solution: A linear pair is a pair of adjacent angles whose non-common sides are opposite rays. So, the sum of two right angles = 90° + 90° = 180°. Solution : Question 103: Angles, which are both supplementary and vertically opposite are (a) ∠a = b The angles between North and West and South and East are Two angles are making a linear pair. (c) one of its angles is right? Then, Get solutions to all NCERT exercise questions and examples of Chapter 5 Class 7 Lines and Angles free at teachoo. This chapter deals with the basics of Geometry, parallel lines and transversal, pair of lines, angles and its types, Related angles and interior and exterior angles of triangles. (a) 95°, 85° (a) ∠1 = ∠5 ∴ ∠a = 30° [Using (ii)] (a) ∠1 + ∠5 = 180° Solution : Are x and other be y of NCERT Exemplar Class 9 Maths Unit 5 is for and... Exercise 5.2 NCERT Solutions were prepared based on the same side of a.! Question 30: in the given figure, line segments, and the lines p and only... Are those angles which are detailed and accurate angle can make a of...: vertically opposite angles ] ⇒ f = 108°, question 105 and examples Chapter. Ncert CBSE and KVS guidelines and 2021 syllabus m and p is a line and ⊥. Line makes 180° angle question 62: both angles of a and bare a! 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