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Question

In the picture O is the centre of the circle and A, B, C are points on it. Then OAC+ABC equals ___


A

75

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B

90

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C

60

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D

120

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Solution

The correct option is B

90


Let OAC=x

OCA=x

(Since, OC = OA)

Now,

In ΔOCA

OCA+OAC+AOC=180

x+x+AOC=180

AOC=1802x

B=12AOC=12(1802x)

=90x

So,
OAC+ABC=90 /x+/x =90


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