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MathNet 2008-part-04 — 165 problems (EN–VI) Question 114

Math Olympiad Vault · MathNet 2008-part-04 — 165 problems (EN–VI)

Question 114

Point $M$ is placed on the side $BC$ of the triangle $ABC$ so that $BM = AC$. $H$ is the foot of the perpendicular dropped on $AM$ from point $B$. We know that $BH = CM$, and $\angle MAC = 30^\circ$. Find degree measure of the $\angle ACB$.