Question

ABC and EBF are a pair of vertical angles; mABC = 3x + 8 and mEBF = 2x + 48. What are mABC and mEBF?

Answer 1

Vertical angles are angles opposite to each other when two lines cross.
what's interesting is that vertical angles are equal.

Based on this:
angle ABC = angle EBF
3x + 8 = 2x + 48
x = 40

measure angle ABC=measure angle EBF =
3(40)+8 = 128 degrees