Question : AB is the diameter of a circle with centre O. P is a point on it. If $\angle$POA = 120°. Then $\angle$PBO = ?
Option 1: 60°
Option 2: 120°
Option 3: 45°
Option 4: 50°
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Correct Answer: 60°
Solution : $\angle$AOB = 180° $\angle$AOP = 120° we know that , $\angle$AOP + $\angle$POB = 180° ∴ $\angle$POB = 180° – 120° = 60° OP = OB = radius ∴ $\angle$OPB = $\angle$PBO = $\frac{120°}{2}=60°$ ($\because $ OP = OB) Hence, the correct answer is 60°.
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