Question

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

Explanation:

Step1: Identify angle - relationship

When two lines are parallel, corresponding angles are equal. Here, the two given angles are corresponding angles. So, we set up the equation \(140 = 2x - 40\).

Step2: Solve the equation for \(x\)

Add 40 to both sides of the equation: \(140+40=2x - 40+40\), which simplifies to \(180 = 2x\).

Step3: Isolate \(x\)

Divide both sides of the equation by 2: \(\frac{180}{2}=\frac{2x}{2}\), so \(x = 90\).

Answer:

\(x = 90\)