SSC CGL 2024 PYQ — Question 56

SSC CGL - 09 Sep 2024 - Shift 3 • Quantitative Aptitude • Q56

In aΔPQR, the bisectors of∠Q and∠R meet at point O, inside the triangle. If∠QOR = 107°, then the measure of∠P is:

Show answer & explanation

Correct answer: D

Explanation

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

We know that,

⇒ ∠QOR = 90° + 1/2 ∠P

⇒ 107° = 90° + 1/2 ∠P

⇒ 17° = 1/2 ∠P

⇒ ∠P = 34°

Thus, the measure of ∠P = 34°