Problem 17 (2011 AMC 10B)

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