Question

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

Explanation:

Step1: Use corresponding - angles property

When two lines are parallel, corresponding angles are equal. Here, for lines \(m\) and \(n\) to be parallel, the angle \(4x^{\circ}\) and the \(120^{\circ}\) angle are corresponding angles. So we set up the equation \(4x = 120\).

Step2: Solve the equation for \(x\)

Divide both sides of the equation \(4x=120\) by 4. We get \(x=\frac{120}{4}\).

Answer:

30