XYZ is an isosceles triangle, so its base angles are equal. WYZ is a straight line, so angles on a straight line sum to \(180^\circ\).<br><br>
Use the marked angles in the figure to find the base angles of \( \triangle XYZ \), then use angle sum of a triangle and angles on a straight line to find \( \angle VYX \).<br><br>
Final Answer: 115&deg;