Question

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

Explanation:

Step1: Use corresponding - angles property

Since \(l\parallel m\parallel n\), the angle of \(130^{\circ}\) and the angle adjacent to \(x^{\circ}\) are corresponding angles. So the angle adjacent to \(x^{\circ}\) is \(130^{\circ}\).

Step2: Use linear - pair property

The angle \(x^{\circ}\) and the \(130^{\circ}\) angle form a linear - pair. The sum of angles in a linear - pair is \(180^{\circ}\). So \(x = 180 - 130\).

Answer:

\(50\)