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Question

In the figure, AB = AC and ACD=105, find BAC.


Solution

In ΔABC, AB=AC

 B=C   (Angles opposite to equal sides)

But ACB+ACD=180         (Linear pair)

 ACB+105=180

 ACD=180105=75

 ABC=ACB=75

But A+B+C=180

(Sum of angles of a triangle)

 A+75+75=180

 A+150=180

 A=180150=30

 BAC=30

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