CEMC Pascal, 2010

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

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 $\angle URV$ ?

(A) $52^\circ$ (B) $56^\circ$ (C) $60^\circ$ (D) $64^\circ$ (E) $68^\circ$

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