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Question

In the figure, it is given that 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
Given, AB = AC.
Also it is given that D bisects side BC.
So, BD = DC.
And, AD = AD (common side)
ADB ADC [S.S.S congruence]
Thus, ADB = ADC (CPCT) (1)
But, ADB + ADC = 180 [linear pair of angles]
i.e., 2ADC=180 (from (1))
ADC=90

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