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TOT 2006 Fall - Junior O-Level p4 cyclic wanted

Source:

February 25, 2020
geometryCyclicangle bisector

Problem Statement

Given triangle ABC,BCABC, BC is extended beyond BB to the point DD such that BD=BABD = BA. The bisectors of the exterior angles at vertices BB and CC intersect at the point MM. Prove that quadrilateral ADMCADMC is cyclic. (4)
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