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Question

In the given figure PA and PB are tangents to a circle with centre O. If APB=(2x+3) and AOB=(3x+7), then find the value of x.

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Solution

Sum of opposite angles in a quadilateral = 180
APB + AOB = 180
(2x+3)+(3x+7) = 180
5x+10 = 180
5x = 170
x = 34

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