2009 AMC 10B Problem 9

Segment $BD$ and $AE$ intersect at $C$ , as shown, $AB=BC=CD=CE$ , and $\angle A = \frac 52 \angle B$ . What is the degree measure of $\angle D$ ?

$\text{(A) } 52.5 \qquad \text{(B) } 55 \qquad \text{(C) } 57.5 \qquad \text{(D) } 60 \qquad \text{(E) } 62.5$

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.