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Question

In the given figure, ABC=69 and ACB=31. Find BDC.

A
60
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B
70
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C
100
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D
80
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Solution

The correct option is D 80
Given that ABC=69 and ACB=31.
Using angle sum property in ABC, we have
BAC+ABC+ACB=180.
i.e., BAC+69+31=180
BAC=180100=80
Now, since the angles in the same segment are equal,
BAC=BDC.
BDC=80

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