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Question

In the given figure, what is the measure of angle ADC?


A
20°
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B
85°
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C
95°
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D
118°
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Solution

The correct option is C 95°
In ΔABC and ΔADC
AB=AD (given)
BC=DC (given)
AC=AC (common)
ΔABCΔADC (by SSS congruence criterion)

DAC=BAC=x (CPCT)
DCA=BCA=y (CPCT)
A=1180x+x=1180x=590
C=520y+y=520y=260
In ΔADC,x+y+z=1800 (by angle sum property)
590+260+z=1800
z=1800850
z=950
ADC=z=950
So, the correct answer is option (c).

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