In the diagram, chords $\overline{XY}$ and $\overline{VW}$ are extended to meet at $U.$ If $\angle U = 30^\circ$, minor arc $XY$ is $180^\circ$, and minor arc $VW$ is $90^\circ$. Find arc $WY$, in degrees.
The answer is 77.5
+1808 
