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Question

In the adjoining figure, it is given that AB || CD, BAO = 108 and OCD = 120 then AOC = ________.


A

120°

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B

72°

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C

132°

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D

150°

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Solution

The correct option is C

132°


Let us redraw the given figure as follows:
Now we know that interior angles on the same side of the transversal are supplementary
Therefore BAO + AOR = 180
AOR = 72
and similarly
ROC + OCD = 180
ROC + 120 = 180
ROC = 60
Hence
AOC = 60 + 72
AOC = 132

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