In the figure below, EBCD is a trapezium. ED is parallel to BC. $\angle$FAB = 74$^\circ$ and $\angle$EBC = 113$^\circ$. Find the sum of $\angle$w, $\angle$x, $\angle$y,and $\angle$z.

In the figure below, WXYZ is a trapezium. WZ is parallel to XY. $\angle$XWY = 52$^\circ$,$\angle$WYZ = 66 $^\circ$ and $\angle$WZY = 55$^\circ$. Find $\angle$WXY.