CEMC Cayley, 2011

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

In the diagram, $\triangle XYZ$ is isosceles with $XY = XZ$ . Also, point $W$ is on $XZ$ so that $XW = WY = YZ$ . The measure of $\angle XYW$ is

(A) $18^\circ$ (B) $30^\circ$ (C) $45^\circ$ (D) $36^\circ$ (E) $60^\circ$

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