PASCAL 2011 Problem 20

In the diagram, PR,PS,QS,QT, and RT are straight line segments. QT intersects PR and PS at U and V, respectively. If PU=PV,\angle{UPV}=24^\circ,\angle{PSQ}=x^\circ, and \angle{TQS}=y^\circ, what is the value of x+y?

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Answer Choices
A. 48
B. 66
C. 72
D. 78
E. 156