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Question

In the given figure, if OAB=40, then ACB = ___.


A

50

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B

40

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C

60

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D

70

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Solution

The correct option is B

50


Note that OA = OB=radius of the circle.
Since angles opposite to equal sides are equal, OAB=OBA=40.
Using angle sum property in OAB, we have
AOB=180(40+40)=100.
Since the angle subtended by an arc at the centre is double the angle subtended by it at any remaining part of the circle, we have
ACB=AOB2=50.


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