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°

Question

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°

Team Careers360 · Accepted Answer

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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Question : If RP and RQ are two tangents to a circle with centre O, such that ∠POQ=120°, where P and Q are the points on the circle and R is a point outside the circle, then ∠PRQ is equal to:Option 1: 90°Option 2: 75°Option 3: 60°Option 4: 45°

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Question : If RP and RQ are two tangents to a circle with centre O, such that $∠ P O Q = 120 °$ , where P and Q are the points on the circle and R is a point outside the circle, then $∠ P R Q$ is equal to:
Option 1: 90°
Option 2: 75°
Option 3: 60°
Option 4: 45°