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2011 AMC 10BProblem 18P16-20~4 minPrint
Triangles: Area & PythagoreanAngles & PolygonsQuadrilaterals & Polygon AreasSet up the equation/formula and compute; no special trick needed

Rectangle ABCDABCD has AB=6AB = 6 and BC=3BC = 3 . Point MM is chosen on side ABAB so that ∠AMD=∠CMD\angle AMD = \angle CMD . What is the degree measure of ∠AMD\angle AMD ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.