Question

The exterior angle PRS of triangle PQR is 100⁰. If ∠P = 50⁰, ∠PQR is

Answer 1

Answer:

Angle PQR = 50°

Step-by-step explanation:

Given:

Angle PRS = 100°

Angle P = 50°

Solution:

If Angle PRS = 100°

Then,

Angle PRQ = 180° - 100° (Linear Pair)

Angle PRQ = 80°

Also,

= Angle P + Angle PQR + Angle PRQ = 180°

(Angle Sum property of a triangle)

= 50° + Angle PQR + 80° = 180°

= Angle PQR = 180° - 130°

= Angle PQR = 50°

Answer 2

Given:

P = 50°

PRS = 100°

PRS + PRQ = 180° [Straight Angle]

100° + PRQ = 180°

PRQ = 180°- 100°

PRQ = 80°

Now,

QPR + PRQ + RQP = 180°

50° + 80° + RQP = 180°

130° + RQP = 180°

RQP = 180° - 130°

RQP = 50°