In the given figure, $PA$ and $PB$ are tangents from external point $P$ to a circle with centre $C$ and $Q$ is any point on the circle. Then the measure of $\angle AQB$ is

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In the given figure, $PA$ and $PB$ are tangents from external point $P$ to a circle with centre $C$ and $Q$ is any point on the circle. Then the measure of $\angle AQB$ is

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Accepted Answer

Step 1: From the figure, $\angle APB = 55°$. $\angle ACB = 180° - 55° = 125°$. $\angle AQB = \frac{1}{2} 	imes \angle ACB = \frac{125°}{2} = 62\frac{1}{2}°$.

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