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Question

In the cyclic quadrilateral WXYZ on the circle centred at O, ZYW=10 and YOW=100. What is the measure of YWZ?

A
30
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B
40
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C
50
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D
60
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Solution

The correct option is B 40
Since YXW is an inscribed angle it is equal to 12×100=50 . In a cyclic quadrilateral, opposite angles sum up to 180, so YZW=18050=130 . Consider ΔYWZ, The interior angles of a triangle sum up to 180 , so YWZ=18010130=40.

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