Question

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

Explanation:

Step1: Use property of parallel lines

Since \(l\parallel m\parallel n\), the corresponding - angles or alternate - interior angles are equal. Here, we assume that the angle \((2x + 11)^{\circ}\) and the \(129^{\circ}\) angle are equal (depending on the angle - relationship formed by the parallel lines and the transversal). So we set up the equation \(2x+11 = 129\).

Step2: Solve the equation for \(x\)

Subtract 11 from both sides of the equation: \(2x=129 - 11\), so \(2x = 118\). Then divide both sides by 2: \(x=\frac{118}{2}\).

Answer:

\(x = 59\)