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Question

In the given parallelogram ABCD, O ismid-point of AB. CO and DO bisect BCD and ADC respectively. Findthe measure of DOC.

A
30
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B
45
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C
60
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D
90
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Solution

The correct option is D 90
In parallelogram ABCD,

ADC+ BCD=180
(Adjacant angles of a parallelogram is supplementary)

12 ADC+12 BCD=90
ODC+ DCO=90...(i)

Also, the sum of all the angles of a triangle is 180.

So, DOC+ ODC+ DCO=180
From (i)
DOC+90=180
DOC=18090
DOC=90

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