Question

solve for x

Explanation:

Step1: Use vertical - angle property

The vertical - angle to the $120^{\circ}$ angle is also $120^{\circ}$.

Step2: Apply triangle - angle sum property

In a triangle, the sum of interior angles is $180^{\circ}$. So, $x + 45+120 = 180$.

Step3: Solve for $x$

$x=180-(120 + 45)=180 - 165=15$.

Answer:

$15$