Given:
[tex]\begin{gathered} \angle V=(4x-6)^{\circ} \\ \angle W=(7x-6)^{\circ} \\ \angle X=x^{\circ} \end{gathered}[/tex]
As it is knwon that, the sum of measure of angles of triangle is 180 degree.
[tex]\begin{gathered} \angle V+\angle W+\angle X=180^{\circ} \\ 4x-6+7x-6+x=180 \\ 12x=180+12 \\ 12x=192 \\ x=16^{\circ} \end{gathered}[/tex]
Therefore, the measure of each angle is,
[tex]\begin{gathered} \angle V=4x-6=4(16)-6=58^{\circ} \\ \angle W=7x-6=7(16)-6=106^{\circ} \\ \angle X=x=16^{\circ} \end{gathered}[/tex]
