In Fig. 2, $PA$ and $PB$ are tangents to the circle with centre $O$ such that $\angle APB = 50°$, then the measure of $\angle OAB$ is ________.

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Question

In Fig. 2, $PA$ and $PB$ are tangents to the circle with centre $O$ such that $\angle APB = 50°$, then the measure of $\angle OAB$ is ________.

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Accepted Answer

Step 1: $\angle AOB = 180° - 50° = 130°$. In $	riangle OAB$, $OA = OB$ (radii). $\angle OAB = \frac{180° - 130°}{2} = 25°$

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