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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 $$\angle BAC$$.

Note by Nilabha Saha
8 months, 4 weeks ago

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Just apply sine rule to $$\Delta ABD$$ and $$\Delta ADC$$. I guess you can take it from here. · 8 months, 4 weeks ago