VWXY is a parallelogram, so opposite sides are parallel and opposite angles are equal. Adjacent angles sum to \(180^\circ\).<br><br>
XYZ is a right-angled triangle, so \( \angle XZY = 90^\circ \). Use the marked angles in the figure and angle sum of a triangle to find \( \angle XYZ \).<br><br>
Then use parallelogram angle properties to find \( \angle WXZ \).<br><br>
Final Answer: \( \angle XYZ = 46^\circ \), \( \angle WXZ = 67^\circ \)