SSC CGL 2019 PYQ — Question 48

SSC CGL Tier II Quant - 12/09/2019 • Quantitative Aptitude • Q48

In triangle PQR, I is the incenter of the triangle. If ∠QIR = 107°. What is the measure of ∠P?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 34°

∠QIR = 90° + (∠QPR/2)

⇒ 107° - 90° = ∠QPR/2

⇒ ∠QPR = 17 × 2 = 34°