AMC 8 1995 Problem 13

In the figure, $\angle A$, $\angle B$, and $\angle C$ are right angles. If $\angle AEB = 40^\circ$ and $\angle BED = \angle BDE$, then $\angle CDE =$

$\text{(A)}\ 75^\circ \text{(B)}\ 80^\circ \text{(C)}\ 85^\circ \text{(D)}\ 90^\circ \text{(E)}\ 95^\circ$