I'm suppose to solve for x ? but I don't know what x is

Given that we have vertical angles, we can express the following.
[tex]8x+36=5x+60[/tex]It is important to know that vertical angles are equal. Let's solve for x.
[tex]\begin{gathered} 8x-5x=60-36 \\ 3x=24 \\ x=\frac{24}{3} \\ x=8 \end{gathered}[/tex]