In Fig. 5.17, PQ || SR and SP || RQ. Then, angles a and b are respectively
a. 20°, 50°
b. 50°, 20°
c. 30°,50°
d. 45°, 35°

Solution:

Given, PQ || SR and SP || RQ.

We need to find the angles a and b.

Since,PQ and SR are two parallel lines cut by a transversal PR,

We know that the alternate interior angles are equal.

So, ∠PQR = ∠PRS

∠a = 20°

Since, SP and RQ are two parallel lines cut by a transversal PR,

We know that the alternate interior angles are equal.

So, ∠RSP = ∠PRQ

∠b = ∠ 50°

Therefore, ∠a = 20° and ∠b = 50°

✦ Try This: The difference of two supplementary angles is 80°. Find the angles

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5

NCERT Exemplar Class 7 Maths Chapter 5 Problem 19

In Fig. 5.17, PQ || SR and SP || RQ. Then, angles a and b are respectively: a. 20°, 50°, b. 50°, 20°, c. 30°,50°, d. 45°, 35°

Summary:

PQ || SR and SP || RQ. Then, angles a and b are 20° and 50° respectively

☛ Related Questions:

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