In triangle PQR, O is incenter. ∠QOR = 110°. Find ∠QPR.
Show answer & explanation
Correct answer: C
Explanation
Given:
O is the incenter of triangle PQR.
∠QOR = 110°
Formula:
Angle at the incenter
∠BOC = 90° + (∠A / 2)
∠QOR = 90° + (∠QPR / 2)
110 = 90 + (∠QPR / 2)
20 = ∠QPR / 2
∠QPR = 40°