Question

in triangle PQR ,PQ is parallel to PR and angle PRS is 135. find the angle P
​

Answer 1

Answer:

67.5°

Step-by-step explanation:

Given:

PQ || PR

PQ || PR∠PRS = 135°

To find:

We have to find ∠P

Solution:

Exterior angle of ∆PQR

135° = Exterior angle ∠PRS

Let us consume ∠PQR = x°

Let us consume ∠QPR = x°

Exterior angle = Sum of opposite interior angle

∠PRS = ∠PQR + ∠QPR

135° = x° + x°

135° = 2x°

135 / 2 = x°

67.5° = x°

∠QPR = 67.5°

∠ P = 67.5°