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Question

In an isosceles triangle ABC, AB = AC and BA is produced to D, such that AB = AD. What is the value of BCD?

A
70
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B
90
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C
60
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D
45
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Solution

The correct option is B 90
Given, AB = AC and AD = AB
AC=AD
Now, as we know that angles opposite to equal sides are equal. Thus let, ABC=ACB=x
and, ADC=ACD=y


Now, in BCD
x+y+x+y=180o (Angle sum property)
2x+2y=180o
x+y=90o
BCD=90o

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