Question 22·Hard·Geometry and Trigonometry

In the figure shown, points $Q,\,R,\,S$, and $T$ lie on line segment $PV$, and triangle $SQX$ is formed by segments $QX$ and $SX$. Segment $RU$ intersects segment $SX$ at point $W$, and segments $RU$ and $TU$ meet at point $U$.

The measure of $\angle SQX$ is $41^\circ$, the measure of $\angle SXQ$ is $83^\circ$, the measure of $\angle SWU$ is $102^\circ$, and the measure of $\angle VTU$ is $152^\circ$.

Which choice gives the measure, in degrees, of $\angle TUR$?