Question

find the value of x that makes m || n. (180 - x)° x° x =

Explanation:

Step1: Use corresponding - angles property

If \(m\parallel n\), then the corresponding angles are equal. Here, the angle \((180 - x)^{\circ}\) and \(x^{\circ}\) are corresponding angles. So, we set up the equation \(180 - x=x\).

Step2: Solve the equation

Add \(x\) to both sides of the equation \(180 - x=x\), we get \(180=x + x\), which simplifies to \(180 = 2x\). Then divide both sides by 2: \(x=\frac{180}{2}=90\).

Answer:

\(90\)