Question

X=18
x=22.5
x=30
x=54

Answer 1

Since (x+90) and 4x are vertical angles, and vertical angles are congruent, you can set them equal to each other.

x+90=4x

90=3x

x=30

Answer 2

The value of
`x` is 30°

Explanation:

Observe that (x + 90)° and 4x° are verticle angles.

By definition, those angles are equal, taht is

`x+90=4x`

Then, we solve for
`x`

`90=4x-x\\3x=90\\x=(90)/(3)\\ x=30\°`

Therefore, the value of
`x` is 30°. The third choice is correct.