In a triangle PQR, incentre is A and ∠QAR = 116°. Find the measure of ∠QPR.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 52°.
Given,
In a triangle PQR, incentre is A and ∠QAR = 116°
We know,
In triangle PQR,
⇒ ∠QAR = 90° + 1/2(∠QPR)
⇒ 116 = 90° + (1/2)∠QPR
⇒ ∠QPR = 26 × 2 = 52°