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P and Q are two points on a circle with centre at O. R is a point on the minor arc of the circle, between the points P and Q. The tangents to the circle at the points P and Q meet each other at the point S. If ∠PSQ = 20°, then ∠PRQ = ?
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- 80°
- 200°
- 160°
- 100°
- 80°
Correct Option: D
According to question , we draw a figure of a circle with centre O , 
∠OPS = ∠OQS = 90°
Given , ∠PSQ = 20°;
∴ ∠POQ = 160°
[∠PSQ + ∠POQ = 180°]
⇒ ∠PTQ = 80°
PRQT is a concyclic quadrilateral.
∴ ∠PRQ = 180° – 80° = 100°
