Question

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

x =

Explanation:

Step1: Use corresponding - angles property

When \(m\parallel n\), the corresponding angles are equal. Here, the angles \(3x^{\circ}\) and \((2x + 20)^{\circ}\) are corresponding angles. So we set up the equation \(3x=2x + 20\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides of the equation \(3x=2x + 20\). We get \(3x-2x=2x + 20-2x\), which simplifies to \(x = 20\).

Answer:

\(20\)