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Question

In isosceles triangle ABC, AB = AC. The side BA is produced to D such that BA = AD.
Is BCD=90. ?
If true then enter 1 else if False enter 0

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Solution

In triangle ABC,
AB = AC, so , ABC=ACB
Now, since, AB =AD then, AC = AD
hence, ACD=ADC
Now, let ABC=ACB=x and ACD=ADC=y
so, ABC+BCD+BDC=180
ABC+ACB+ACD+BDC=180
x+x+y+y=180
2(x+y)=180
x+y=90
ACB+ACD=90
BCD=90

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