Question

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

Explanation:

Step1: Use corresponding - angles property

Since \(l\parallel m\parallel n\), the angle \((2x - 18)^{\circ}\) and the \(62^{\circ}\) angle are corresponding angles. So, \(2x-18 = 62\).

Step2: Solve the equation for \(x\)

Add 18 to both sides of the equation: \(2x=62 + 18\), so \(2x=80\). Then divide both sides by 2: \(x=\frac{80}{2}\).

Answer:

\(x = 40\)