just trying to improve my math skills and I really can't figure out how to do this

Explanation:
Corresponding angles formed by two parallel lines and a transversal are congruent.
The indicated angles are corresponding angles, therefore their measures are equal:
[tex]x+9=2x-111[/tex]Solving for x:
[tex]\begin{gathered} x+9-x=2x-x-111 \\ 9=x-111 \\ x=9+111=120 \end{gathered}[/tex]Answer:
x = 120º