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Moldova Junior TST for JBMO 2016 - Problem 3

Source: Moldova Junior TST 2016

February 29, 2016
geometry

Problem Statement

Let ABCABC be an isosceles triangle with ∡C=∡B=36\measuredangle C=\measuredangle B=36. The point MM is in interior of ABC ABC such that ∡MBC=24∘,∡BCM=30∘\measuredangle MBC=24^{\circ} , \measuredangle BCM=30^{\circ} N=AM∩BC.N = AM \cap BC.. Find ∡MCB\measuredangle MCB .
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