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°