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Question

ABCD is a parallelogram. The angle bisectors of A and D meet at O. Find the measure of AOD.

A
120
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B
35
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C
40
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D
90
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Solution

The correct option is D 90

Let BAD=x
ADC=180x
[Sum of adjacent angles of a parallelogram is 180]
BAD2=x2=OAD and
ADC2=90x2=ADO
[AO and DO are angle bisectors]
AOD=180(x2+90x2)=90

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