Question

ZE and ZF are vertical angles with mZE = 8x + 8 and mZF = 2x +38.
What is the value of x?

Answer 1

Since ZE and ZF are vertical angles, they are congruent.

8x+8 = 2x+38

8 = 2x-8x+38

8 = -6x+38

8-38 = -6x

-30 = -6x

x = -30/-6

x = 5

Answer 2

x = 5

Explanation:

Vertical angles are congruent, so ...

∠E = ∠F

8x +8 = 2x +38

6x = 30 . . . . . . . . . subtract (2x+8)

x = 5 . . . . . . . . . . . divide by 6