Question

1. determine the m∠mnq.
2. determine the value of x.

Explanation:

Step1: Use vertical - angles property

Vertical angles are equal. So, $2x - 10=120$.

Step2: Solve the equation for x

Add 10 to both sides of the equation: $2x=120 + 10$, which simplifies to $2x=130$. Then divide both sides by 2: $x=\frac{130}{2}=65$.

Answer:

$x = 65$