2012 Fermat Problem 12

In the diagram, \triangle QUR and \triangle SUR are equilateral triangles. Also, \triangle QUP, \triangle PUT and \triangle TUS are isosceles triangles with PU = QU = SU = TU and QP = PT = TS. The measure of \angle UST, in degrees, is

\textbf{(A)}\ 50\quad \textbf{(B)}\ 54\quad \textbf{(C)}\ 60\quad \textbf{(D)}\ 70\quad \textbf{(E)}\ 80

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

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