Question : A, B, P, and Q are points on the circumference of a circle with centre O. If angle AQB is 60°, then which of the following can be the value of angle APB?
Option 1: 160°
Option 2: 30°
Option 3: 90°
Option 4: 60°
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Correct Answer: 60°
Solution :
$\angle AQB = 60°$ made by chord AB on the circumference of the circle.
Also, the $\angle APB$ is made by the same chord AB on the circumference of the circle.
Angles made by the same chord on the circumference at the same side of the circle are equal.
$\angle AQB = \angle APB = 60°$
Hence, the correct answer is 60°.
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