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2009 AMC 10BProblem 9P1-10~3 minPrint
Angles & PolygonsTriangles: Area & PythagoreanSet up the equation/formula and compute; no special trick needed

Segment BDBD and AEAE intersect at CC , as shown, AB=BC=CD=CEAB=BC=CD=CE , and ∠A=52∠B\angle A = \frac 52 \angle B . What is the degree measure of ∠D\angle D ?

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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.