Question

(6x - 36)° 120°

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. The angle $(6x - 36)^{\circ}$ and the $120^{\circ}$ angle are vertical angles. So, $6x-36 = 120$.

Step2: Solve the equation for $x$

Add 36 to both sides of the equation: $6x=120 + 36$. Then $6x=156$. Divide both sides by 6: $x=\frac{156}{6}=26$.

Answer:

$x = 26$