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Angles of the triangle

Source: May Olympiad(Olimpiada de Mayo) 2005

February 21, 2018
geometry

Problem Statement

In a triangle ABCABC with AB=ACAB = AC, let MM be the midpoint of CBCB and let DD be a point in BCBC such that ∠BAD=∠BAC6\angle BAD = \frac{\angle BAC}{6}. The perpendicular line to ADAD by CC intersects ADAD in NN where DN=DMDN = DM. Find the angles of the triangle BACBAC.
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