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Question

In the figure, AOC is a diameter of the circle and arc AXB=12 arc BYC. Find BOC.

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Solution

In the figure, AOC is diameter arc AXB = 12 arc BYC

AOB=12BOC

BOC=2AOB

But AOB+BOC=180o

AOB+2AOB=180o

3AOB=180o

AOB=180o3=60o

BOC=2×60o=120o


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