2010 Pascal Problem 17

In the diagram, PW is parallel to QX, S and T lie on QX, and U and V are the points of intersection of PW with SR and TR, respectively. If \angle SUV = 120^\circ and \angle VTX = 112^\circ, what is the measure of \angle URV?

\textbf{(A)}\ 52^\circ\quad \textbf{(B)}\ 56^\circ\quad \textbf{(C)}\ 60^\circ\quad \textbf{(D)}\ 64^\circ\quad \textbf{(E)}\ 68^\circ

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 Pascal contests here.