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

**First, solve for x in the equation 3x + 8 = 2x + 48**

Subracting 8 from both sides gives 3x = 2x + 40

Subracting 2x from both sides gives: 3x - 2x = 40, which simplifies to** x = 40**.

Plug x back into your equations.

Since ABC = 3x+8 and x = 40, ABC = 3*(40) + 8 = 120 + 8 = 128

Since EBF = 2x + 48 and x = 40, EBF = 2*(40) + 48 = 80 + 48 = 128

Both angles have the same value, as vertical angles do. :)