(iii) There is no pair of vertically opposite angles and no angles are in the form of linear pair. Find each of the angles. ∴ x + 2x = 180° Solution: (c) one of its angles is right? ⇒ (x – 10)° +(4x – 25)° + (x + 5)° = 180° [Angles on a straight line] Question 102: RD Sharma Class 11 Solutions Free PDF Download, NCERT Solutions for Class 12 Computer Science (Python), NCERT Solutions for Class 12 Computer Science (C++), NCERT Solutions for Class 12 Business Studies, NCERT Solutions for Class 12 Micro Economics, NCERT Solutions for Class 12 Macro Economics, NCERT Solutions for Class 12 Entrepreneurship, NCERT Solutions for Class 12 Political Science, NCERT Solutions for Class 11 Computer Science (Python), NCERT Solutions for Class 11 Business Studies, NCERT Solutions for Class 11 Entrepreneurship, NCERT Solutions for Class 11 Political Science, NCERT Solutions for Class 11 Indian Economic Development, NCERT Solutions for Class 10 Social Science, NCERT Solutions For Class 10 Hindi Sanchayan, NCERT Solutions For Class 10 Hindi Sparsh, NCERT Solutions For Class 10 Hindi Kshitiz, NCERT Solutions For Class 10 Hindi Kritika, NCERT Solutions for Class 10 Foundation of Information Technology, NCERT Solutions for Class 9 Social Science, NCERT Solutions for Class 9 Foundation of IT, PS Verma and VK Agarwal Biology Class 9 Solutions, NCERT Solutions for Class 10 Science Chapter 1, NCERT Solutions for Class 10 Science Chapter 2, Periodic Classification of Elements Class 10, NCERT Solutions for Class 10 Science Chapter 7, NCERT Solutions for Class 10 Science Chapter 8, NCERT Solutions for Class 10 Science Chapter 9, NCERT Solutions for Class 10 Science Chapter 10, NCERT Solutions for Class 10 Science Chapter 11, NCERT Solutions for Class 10 Science Chapter 12, NCERT Solutions for Class 10 Science Chapter 13, NCERT Solutions for Class 10 Science Chapter 14, NCERT Solutions for Class 10 Science Chapter 15, NCERT Solutions for Class 10 Science Chapter 16, CBSE Previous Year Question Papers Class 12, CBSE Previous Year Question Papers Class 10. We have, Question 4: If two lines are parallel, then they will never meet each other. (d) 120° The supplement of an acute is always _________ angle. ∴ ∠COF = ∠EOD = 110° [Using (i)] [Vertically opposite angles] In the given figure, POQ is a line, then a is equal to (b) Let the angle be x°. Find the reflex ∠EFG. Let one angle = 50° Solution : Two adjacent angles always form a linear pair. Now, RS is a straight line. (a) interior angles on the same side of the transversal Now, 2a + b = 2 × 132° + 132° Now, e || f and c is a transversal. Which of the following is false? Solution: Solution: ∠d = ∠c [Vertically opposite angles] Since, QP || RS and PR is transversal. 45° Solution: Let A and B are two angles making a complementary angle pair and A is greater than 45° Hence, two right angles are never be complementary. An angle is more than 45°. A + B = 90° Solution : ∴ ∠4 = 75° [Alternate interior angles], Question 91. ∴ ∠QOR = 3y = 3× 30° = 90°, Question 15. ∴ ∠5 = ∠8 [Alternate interior angles], Question 40. Vertically opposite angles are always Now, l is also parallel to CD and FG is a transversal. Class 7 Maths Lines and Angles Worksheet. Then, the values of a and bare respectively. (b) (iii) is false Putting the value of x in (i), we get Question 58. (b) Since, ∠POR, ∠ROT and ∠TOQ lies on a straight line POQ, then their sum is equal to 180°. In the given figure, PA || BC || DT and AB || DC. Solution: Then, which one of the following is not true? No, two acute angles cannot form a pair of supplementary angles. Since, a transversal intersects two parallel lines, then interior angles on the same side of a transversal are supplementary. (c) 36° (b) 80° Hence, the two angles are supplementary, as their sum is 180°. Find ∠QUR. ⇒ 3x + 2x = 180° ⇒ ∠EOD = 180° -30° – 40° = 110° ——— (i) ⇒ ∠c = 180° – 30° = 150° Let the angle be x°. An angle which is half of its supplement is of______. If ∠POR = 90° and x : y = 3 : 2, then z is equal to Also, AB || DF and BD is a transversal. Class 7 Maths Lines and Angles . If we add 60° and 70°, we get 60°+ 70° = 130° <180° Solution: (c) vertically opposite (d) making a linear pair ∴ A and bare alternate interior angles. (i) Yes, and b are the adjacent angles as they have a common vertex, one common arm and other non-common arms on the opposite side of the common arm. Free NCERT Exemplar for CBSE Class 7 Maths Chapter 5 Lines And Angles in PDF File solved by subject matter experts as per CBSE NCERT guidelines of the latest edition (2020-21) In the given figure, two parallel lines l and m are cut by two transversals p and 4. 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. ∴ x + 61° = 180° [∴ sum of angles forming linear pair is 180°] ⇒ x + 2x = 300° Justify your answer. Solution: Question 55: \(\Rightarrow a=\frac{200^{\circ}}{5}=40^{\circ}\), Question 14. ⇒ 60° – ∠L ——— (i) In the given figure, QP|| RS. Vertically opposite angles are either both acute angles or both obtuse angles. The angle The angles x and 90° – x are ⇒ 3a – b + 2a + b = 180 ⇒ 5a = 180 NCERT Exemplar for Class 7 Maths Chapter 5 Lines and Angles With Solution . Now, PQ || RT and RQ is a transversal. True Both angles of a pair of supplementary angles can never be acute angles. Solution : Question 111: [ ∵∠AOE = 30° and ∠DOB =40° (given)] Question 22: (b) Two angles are said to be supplementary, if their sum is 180°. (c) 30°, 50° Solution : NCERT Exemplar Class 9 Mathematics Chapter 6 Lines and Angles, is provided in pdf format for students to prepare for exams. ∴ ∠2 + 3 = 180° [Co-interior angles] (iii) d and f (iv) c and f NCERT Exemplar Class 7 Maths Chapter 5 Lines and Angles are part of NCERT Exemplar Class 7 Maths. Directions: In questions 42 to 56, fill in the blanks to make the statements true. (iv) c and f (d) equal (i) b and c I: If two lines intersect, then the vertically opposite angles are equal. NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12. Given points A, O and B are collinear. Then, which one of the following is not true? Question 30. (iv) ∠POR and ∠QOS; ∠ROQ and ∠POS are two pairs of vertically opposite angles. Question 81. 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. (c) alternate interior angles ∴ b = 50° [Alternate interior angles]. Then, which of the following is true? Question 113: Then, CBSE Maths notes, CBSE physics notes, CBSE chemistry notes. In the given figure, PQ || RT. Since, both angles are complementary. (b) Now the players are lined up as shown in figure (iii). (a) ∠1 = ∠5 (b) ∠4 = ∠8 (c) ∠5 = ∠8 (d) ∠3 = ∠7 Thus, the required angles are 60° and 30°. Solution : Complementary, Question 43. Now, EF || GH and AB is a transversal. 5.1; Class 7 Maths Chapter 5 Ex. Iron rods a, b, c, d,e and fare making a design in a bridge as shown in figure, in which a || b. c || d, e || f. Find the marked angles between Question 26. Solution : We have, It is the most important topic in the Maths for class 7 as well as upper. Thus, the required angle is 119°. Solution : ∴ EF and GH are not parallel lines.

**ncert exemplar class 7 maths lines and angles 2021**