Question

find the value of x that makes m||n. x = □ (simplify your answer.)

Explanation:

Step1: Use angle - relationship for parallel lines

When \(m\parallel n\), the sum of the interior angles on the same side of the transversal is \(180^{\circ}\). So, \(18x + 42x+47x=180\).

Step2: Combine like - terms

\((18 + 42+47)x=180\), which simplifies to \(107x = 180\).

Step3: Solve for \(x\)

\(x=\frac{180}{107}\)

Answer:

\(\frac{180}{107}\)