According to the given diagram, angles TVO and VWS are corresponding angles by definition, which means they are congruent.
Having said that, we can express the following equation.
[tex]m\angle TVO=m\angle VWS[/tex]
Let's replace the given expressions.
[tex]5x-22=3x+10[/tex]
We subtract 3x from both sides.
[tex]\begin{gathered} 5x-3x-22=3x-3x+10 \\ 2x-22=10 \end{gathered}[/tex]
Add 22 on both sides.
[tex]\begin{gathered} 2x-22+22=10+22 \\ 2x=32 \end{gathered}[/tex]
At last, we divide the equation by 2.
[tex]\begin{gathered} \frac{2x}{2}=\frac{32}{2} \\ x=16 \end{gathered}[/tex]
Therefore, x is equal to 16.
