Question
In aΔPQR, the bisectors of ∠Q and ∠R meet at point
O, inside the triangle. If ∠QOR = 107°, then the measure of ∠P is:Solution
In ΔPQR, the angle bisectors of ∠Q and ∠R meet at O. Given: ∠QOR = 107° Using the angle bisector property: ∠QOR = 90° +∠P/2 Substitute the given value: 107° = 90° +∠P/2 ⟹ ∠P/2=17° ⟹ ∠P = 34°
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