2013 Pascal Problem 14

In the diagram, PQR is a straight line segment and QS = QT. Also, \angle PQS = x^\circ and \angle TQR = 3x^\circ. If \angle QTS = 76^\circ, the value of x is

\textbf{(A)}\ 28\quad \textbf{(B)}\ 38\quad \textbf{(C)}\ 26\quad \textbf{(D)}\ 152\quad \textbf{(E)}\ 45

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.