In triangle $XYZ$, $\angle X = 60^\circ$ and $\angle Y = 45^\circ$. The bisector of $\angle X$ intersects $\overline{YZ}$ at $W.$ If $XW = 24,$ then find the area of triangle $XYZ$.
By the angle bisector theorem, the area of triangle XYZ is 144 + 48*sqrt(3).
+4 
