Question

find the value of x that makes m || n.

Explanation:

Step1: Use corresponding - angles property

When two parallel lines \(m\parallel n\) are cut by a transversal, corresponding angles are equal. Here, the \(120^{\circ}\) angle and the \(3x^{\circ}\) angle are corresponding angles. So we set up the equation \(3x = 120\).

Step2: Solve the equation for \(x\)

Divide both sides of the equation \(3x = 120\) by 3. We get \(x=\frac{120}{3}\).

Answer:

\(x = 40\)