Question

given l || m || n, find the value of x.

Explanation:

Step1: Use corresponding - angles property

Since \(l\parallel m\parallel n\), the angle of \(135^{\circ}\) and the angle adjacent to \(x^{\circ}\) are corresponding angles. So the angle adjacent to \(x^{\circ}\) is \(135^{\circ}\).

Step2: Use linear - pair property

The sum of an angle and its adjacent angle in a linear - pair is \(180^{\circ}\). Let the adjacent angle to \(x^{\circ}\) be \(y = 135^{\circ}\). Then \(x + y=180^{\circ}\), so \(x=180 - 135\).

Answer:

\(45\)