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.

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## Comments

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Just apply sine rule to \(\Delta ABD\) and \(\Delta ADC\). I guess you can take it from here.

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