# ABC is a triangle in which angle B=2*angle C. D is a point on BC such that ad bisects angle BAC &AB=CD prove that angle BAC=72 degree.

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by ritzpro

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by ritzpro

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Refer to diagram

A + B + C = 180 => A = 180 - 3C

t = A/2 = 90 - 3/2 C

a / sin A = b / sin B = c / sin C

A + B + C = 180 => A = 180 - 3C

t = A/2 = 90 - 3/2 C

a / sin A = b / sin B = c / sin C