Question

If _JOY and ZLOV form a vertical pair and mzJOY = 8x + 15 and mZLOV = 4x + 25, find the

value of x.​

Answer 1

x = 2.5

Explanation:

Two vertical angles are congruent, so ...

m∠JOY = m∠LOV

8x +15 = 4x +25

4x = 10 . . . . . . . . . . subtract 4x+15

x = 10/4 = 2.5 . . . . .divide by the coefficient of x

The value of x is 2.5.