Question

find the value of x that makes m||n. x = explain your reasoning.

Explanation:

Step1: Use corresponding - angles property

When \(m\parallel n\), the corresponding angles are equal. So, \(4x = 2x+54\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(4x - 2x=2x + 54-2x\), which simplifies to \(2x=54\). Then divide both sides by 2: \(x=\frac{54}{2}\).

Answer:

\(x = 27\)