Question

Angle ABC and angle EBF are a pair verical angles. The measurement of angle ABC = 3X + 8 and the measurement of angle EBF = 2X + 48. What are the measurements of angle ABC and angle EBF

Answer 1

Vertical angles are equal.

3x+8=2x+48
x=40 deg

so now you have x, put that in the expression for each angle (3x+8;2x+48) and you have the angles.

Answer 2

Angle ABC = 128
Angle EBF = 128

Answer 3

But thats only assuming that both angles are are equal in measurement. You can't assume vertical angles are equal in measurement unless it is specified, which in this case, they are not.