According to the given graph, those are corresponding angles that are always congruent. So, we can elaborate on the following
[tex]5x+7=9x-63[/tex]
Now, we solve for x, first, we subtract 7 on each side.
[tex]\begin{gathered} 5x+7-7=9x-63-7 \\ 5x=9x-70 \end{gathered}[/tex]
Then, we subtract 9x on each side
[tex]\begin{gathered} 5x-9x=9x-70-9x \\ -4x=-70 \end{gathered}[/tex]
We divide the equation by -4
[tex]\begin{gathered} \frac{-4x}{-4}=\frac{-70}{-4} \\ x=\frac{35}{2} \end{gathered}[/tex]
Therefore, the solution is 35/2.
