Question

question given (lparallel mparallel n), find the value of (x).

Explanation:

Step1: Use corresponding - angles property

Since \(l\parallel m\parallel n\), the angle \((2x - 8)^{\circ}\) and the \(60^{\circ}\) angle are corresponding angles. So, \(2x-8 = 60\).

Step2: Solve the equation for \(x\)

Add 8 to both sides of the equation: \(2x=60 + 8\), which simplifies to \(2x=68\). Then divide both sides by 2: \(x=\frac{68}{2}=34\).

Answer:

\(x = 34\)