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angle chasing, <BCA = 2 <MBC, <ABC= 60 ^o

Source: 2011 Romanian NMO grade VII P4

May 18, 2020
geometryanglesAngle Chasing

Problem Statement

Consider △ABC\vartriangle ABC where ∠ABC=60o\angle ABC= 60 ^o. Points MM and DD are on the sides (AC)(AC), respectively (AB)(AB), such that ∠BCA=2∠MBC\angle BCA = 2 \angle MBC, and BD=MCBD = MC. Determine ∠DMB\angle DMB.
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