PQ is the chord of a circle whose center is O. ROS is a line segment originating from a point R on the circle that intersect PQ produced at point S such that QS = OR. If ∠QSR = 30°, then what is the value (in degrees) of POR?
Explanation:
We can draw the following figure from the given information.
Since OR = OP = OQ = OS (radius)
⇒ ∠OPQ = ∠OQP & ∠QSO = ∠QOS
⇒ ∠POQ = 60°
⇒ ∠POR = 180 - (60° + 30°) = 90°
Hence, option (d).
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