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2007 AMC 10BProblem 15P11-15~3 minPrint
Angles & PolygonsLinear Equations & Word ProblemsSet up the equation/formula and compute; no special trick needed

The angles of quadrilateral ABCDABCD satisfy ∠A=2∠B=3∠C=4∠D.\angle A=2 \angle B=3 \angle C=4 \angle D. What is the degree measure of ∠A,\angle A, rounded to the nearest whole number?

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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. Also appeared as 2007 12B #11.