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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