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Question

In the figure, it is given that A = 90, AB = AC, and point D bisects the side BC. Find ADC.


A

30

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B

60

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C

90

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D

120

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Solution

The correct option is C

90


We have, AB = AC (given)
also, it is given that D bisects side BC, so,
BD = DC
and, AD = AD (common side)
,ADBADC
Thus, ADB=ADC __(1)
but,ADB+ADC=180or,2ADC=180 (from(1))Hence, ADC=90


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