POR is the diameter of a circle. PQ and RQ are two of its chords. The length of arc PQ is half the length of arc RQ. Find the measure of ∠POQ.
Show answer & explanation
Correct answer: D
Explanation
∠POQ = x°
∠QOR = 2x°
∠POQ + ∠QOR = 180°
x + 2x = 180°
3x = 180°
x = 60°