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Question : AB is the diameter of a circle with centre O. If P is a point on the circle such that ∠AOP=110°, then the measure of ∠OBP is:

Option 1: 50°

Option 2: 65°

Option 3: 60°

Option 4: 55°

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Team Careers360 9th Jan, 2024
Answer
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: 55°


Solution :
∠AOP = 110°
The angle subtended by a chord at the centre of the circle is twice the angle subtended by the same chord at a point in the circle.
So, ∠ABP = ∠OBP = 12∠AOP = 55°
Hence, the correct answer is 55°.

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