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NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2

CBSE students can refer to NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 Textbook Questions and Answers are provided by experts in order to help students secure good marks in exams.

Class 7 Maths NCERT Solutions Chapter 5 Lines and Angles Ex 5.2

Ex 5.2 Class 7 Maths Question 1.
State the property that is used in each of the following statements?
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 11
Solution:
(i) If two parallel lines are cut by a transversal then the pair of corresponding angles have equal measure.

(ii) If two parallel lines are cut by a transversal then the pairs of alternate interior angles are equal.

(iii) If two parallel lines are cut by a transversal, then the pairs of interior angles on the same side of the transversal are supplementary.

Ex 5.2 Class 7 Maths Question 2.
In the adjoining figure, identity:

  1. the pairs of corresponding angles.
  2. the pairs of alternate interior angles.
  3. the pairs of interior angles on the same side of the transversal.
  4. the vertically opposite angles

NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 12

Solution:

  1. ∠ 1 and ∠ 5, ∠ 2 and ∠6, ∠4 and ∠8, ∠3 and ∠7
  2. ∠ 3 and ∠ 5, ∠ 2 and ∠8
  3. ∠ 3 and ∠ 8, ∠ 2 and ∠5
  4. ∠ 1, ∠ 3, ∠ 2, ∠ 4, ∠ 5, ∠ 7, ∠ 6 and ∠8

Ex 5.2 Class 7 Maths Question 3.
In the adjoining figure p || q. Find the unknown angles
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 13
Solution:
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 14

Ex 5.2 Class 7 Maths Question 4.
Find the value of x in each of the following figures if l || m :
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 15
Solution:
(i) Since, l || m and t is a transversal.
∴ ∠x = (180° – 110°) = 70° [Corresponding angles, Linear pair]

(ii) if l || m and a is a transversal.
Then, ∠x = 1000 [Corresponding angles]

Ex 5.2 Class 7 Maths Question 5.
In the given figure, the arms of the two angles are parallel. If ∠ABC = 70°, then find
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 16
(i) DGC
(ii) DEF
Solution:
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 17

Ex 5.2 Class 7 Maths Question 6.
In the given figures below, decide whether l is parallel to m.
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 18
Solution:
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles 19

We hope the NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles help you. If you have any query regarding NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles, drop a comment below and we will get back to you at the earliest.

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