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Question

In the adjoining figure, AB is parallel to CD. Find the value of x.


A

80

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B

88

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C

90

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D

98

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Solution

The correct option is D

98


Draw a line parallel to AB and CD passing through O.

Now we know that interior angles on the same side of the transversal are supplementary

Therefore BAO + AOR = 180

AOR + 130 = 180

AOR = 50

and similarly

ROC + OCD = 180

ROC + 132 = 180

ROC = 48

Hence

AOC = 50 + 48

AOC = 98


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