Question

given m || n, find the value of x.

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles are corresponding angles and are equal. So, \(2x - 20=112\).

Step2: Solve for \(x\)

Add 20 to both sides of the equation: \(2x=112 + 20\), which simplifies to \(2x=132\). Then divide both sides by 2: \(x=\frac{132}{2}=66\).

Answer:

\(x = 66\)