Question

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

Explanation:

Step1: Use parallel - line property

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

Step2: Solve the equation for \(x\)

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

Answer:

\(x = 90\)