Answer:
[tex]x=61[/tex]
Step-by-step explanation:
We can find the angle directly above the [tex]2x+8[/tex].
We know that because they both lie on a straight line, the other angle is [tex]180-(2x+8)=172-2x[/tex].
Aha! We have a path to the solution!
[tex]172-2x=x-11[/tex] because of the parallel line angle theorem(I forget what it's called).
We then add [tex]2x[/tex] and [tex]11[/tex] to both sides to get [tex]183=3x[/tex].
Lastly, we divide by [tex]3[/tex] to get [tex]61=x[/tex].
So, [tex]\boxed{x=61}[/tex] and we're done!
