Question : AB is the diameter of a circle with centre O. If P is a point on the circle such that $\angle$AOP=110°, then the measure of $\angle$OBP is:
Option 1: 50°
Option 2: 65°
Option 3: 60°
Option 4: 55°
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Correct Answer: 55°
Solution :
$\angle$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, $\angle$ABP = $\angle$OBP = $\frac{1}{2} \angle$AOP = 55°
Hence, the correct answer is 55°.
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