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Question

In the triangle ABC, BC = CD and (ABCBAC)=30. The measure of ABD is :

A
30
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B
45
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C
15
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D
Cant be determined
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Solution

The correct option is C 15
ABD=ABCDBC
=ABCBDC
=ABC(ABD+BAD)
2(ABD)=ABCBAD=30
ABD=15
BAD=BAC

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