2026 Fermat Problem 16

In the diagram, point P lies inside square WXYZ so that \triangle PXY is an equilateral triangle.

The measure of \angle WPZ is

\textbf{(A)}\ 150\degree\quad \textbf{(B)}\ 135\degree\quad \textbf{(C)}\ 90\degree\quad \textbf{(D)}\ 120\degree\quad \textbf{(E)}\ 160\degree

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Fermat contests here.