Respuesta :

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:

The value of [tex]x[/tex] is 30°

Step-by-step explanation:

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

By definition, those angles are equal, taht is

[tex]x+90=4x[/tex]

Then, we solve for [tex]x[/tex]

[tex]90=4x-x\\3x=90\\x=\frac{90}{3}\\ x=30\°[/tex]

Therefore, the value of [tex]x[/tex] is 30°. The third choice is correct.