Maths-
General
Easy
Question
Find 
in the below figure.
Hint:
using the sum of angles on a straight line find the value of ∠ QPR .Now, using the exterior angle property Find ∠PRQ .
The correct answer is: ∠ PRQ = 65°
Step 1 :- Find ∠QPR
∠ QPR + ∠RPS = 180° (sum of angles on the straight line)
∠ QPR + 135° = 180° (given , ∠ RPS = 135°)
∠ QPR = 180°-135° = 45°
∠ QPR = 45°
Step 2:- Find ∠PRQ
We know that in a triangle, the exterior angle is always equal to the sum of the interior opposite angles.
∠ QPR + ∠ PRQ = ∠ PQT
given ,∠ RPS = 110° and we got ∠ QPR = 45°
45° + ∠ PRQ = 110°
∠PRQ = 110°- 45° = 65°
∴∠PRQ = 65°
Step 2:- Find ∠PRQ
We know that in a triangle, the exterior angle is always equal to the sum of the interior opposite angles.
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