From the diagram, angles W and X are supplementary, this means the addition of their measures is equal to 180 degrees, that is,
[tex]m\angle W+m\angle X=180\degree[/tex]
The measure of angle W is 5 times as large as the measure of angle X, then:
[tex]m\angle W=5m\angle X[/tex]
Substituting this second equation into the first one, and solving for the measure of angle X:
[tex]\begin{gathered} 5m\angle X+m\angle X=180\degree \\ 6m\angle X=180\degree \\ m\angle X=\frac{180\degree}{6} \\ m\angle X=30\degree \end{gathered}[/tex]
In consequence, the measure of angle W is:
[tex]\begin{gathered} m\angle W=5(30\degree) \\ m\angle W=150\degree \end{gathered}[/tex]
