Question

fill in the blank 2 points. find the value of x that makes m parallel to n.

Explanation:

Step1: Recall parallel - line property

When two lines are parallel, corresponding angles are equal. Here, the angle of $80^{\circ}$ and the angle of $2x^{\circ}$ are corresponding angles.
So, we set up the equation $2x = 80$.

Step2: Solve the equation for x

Divide both sides of the equation $2x = 80$ by 2. We get $x=\frac{80}{2}$.

Answer:

$40$