We can see that angles WXZ and YXZ are supplementary, this means that
[tex]\angle WXZ+\angle YXZ=180[/tex]
now, since angle WXZ=5x and angle YXZ=3x, we have
[tex]5x+3x=180[/tex]
which is equal to
[tex]\begin{gathered} 8x=180 \\ x=\frac{180}{8} \\ x=22.5 \end{gathered}[/tex]
Now, if we substitute this values into angle WXZ, we obtain
[tex]\begin{gathered} \angle WXZ=5(22.5) \\ \angle WXZ=112.5 \end{gathered}[/tex]
that is, angle WXZ is equal to 112.5 degrees
