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A Problem With Triangles

A problem I am unable to solve. Can anyone please help me?

\(ABC \) is a triangle in which \(\angle B= 2\angle C\)
\(D\) is a point on \(BC\) such that \(AD\) bisects \(\angle BAC\) and \(AB = CD\)
Find \(\angle BAC\).

Thanks in advance.

Note by Nilabha Saha
5 months ago

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Just apply sine rule to \(\Delta ABD\) and \(\Delta ADC\). I guess you can take it from here. Deeparaj Bhat · 5 months ago

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