AMC 10 Step by Step
2011 AMC 10BProblem 17P16-20~4 minPrint

In the given circle, the diameter EB\overline{EB} is parallel to DC\overline{DC} , and AB\overline{AB} is parallel to ED\overline{ED} . The angles AEBAEB and ABEABE are in the ratio 4 :54 : 5 . What is the degree measure of angle BCDBCD ?
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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.