PASCAL 2006 Problem 17

In the diagram, point E lies on line segment AB, and triangles AED and BEC are isosceles. Also, \angle{DEC} is twice \angle{ADE}. What is the size of \angle{EBC}?

Image

Answer Choices
A. 75^\circ
B. 80^\circ
C. 60^\circ
D. 55^\circ
E. 45^\circ