CAYLEY 2006 Problem 8

A rectangle is drawn inside \triangle{ABC}, as shown. If \angle{BWZ}=22^\circ and \angle{CXY}=65^\circ, then the size of \angle{BAC} is

Image

Answer Choices
A. 87^\circ
B. 90^\circ
C. 93^\circ
D. 104^\circ
E. 82^\circ