Question : If RP and RQ are two tangents to a circle with centre O, such that $\angle POQ=120°$, where P and Q are the points on the circle and R is a point outside the circle, then $\angle PRQ$ is equal to:
Option 1: 90°
Option 2: 75°
Option 3: 60°
Option 4: 45°
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Correct Answer: 60°
Solution :
Given: $\angle POQ=120°$
We know that the angle formed by the line segment between the point of contact at the centre and the two tangents drawn from an outside point to the circle are supplementary angles.
So, $\angle PRQ = 180°- 120° = 60°$
Hence, the correct answer is 60°.
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