Question

find the value of x.

x =

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. The angle of $36^{\circ}$ and the angle of $(6x)^{\circ}$ are vertical angles.
So we have the equation $6x = 36$.

Step2: Solve the equation for x

Divide both sides of the equation $6x = 36$ by 6.
$x=\frac{36}{6}$.

Answer:

$6$