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Question

In the given figure, ABCD is a cyclic Quadrilateral. O is the centre of the circle and BOD=160, find the measure of BPD.


A
50
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B
20
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C
100
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D
70
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Solution

The correct option is C 100

Consider the arc BCD of the circle. This arc makes angle BOD=160 at the centre of the circle and BAD at a point A on the circumference.



BAD=12BOD=80
Now, ABPD is a cyclic quadrilateral.
BAD+BPD=18080+BPD=180BPD=100


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