can someone help me figure this out?

Answer:
A) x=23 (Snoopy!)
Step-by-step explanation:
We know that the two angles are congruent, because they are opposite exterior angles.
Attached is a picture that shows the theorem that allows us to say the previous sentence!
1) Set both angles equal:
x+58=4x-11
2) Subtract x from both sides:
58=3x-11
3) Add 11 to both sides:
3x=69
4) Divide both sides by 3:
x=23
Let me know if you have any questions! :)