Question

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

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the angle of \(113^{\circ}\) and the angle adjacent to \(x^{\circ}\) are corresponding angles, so they are equal.

Step2: Use angle - sum property

The sum of adjacent angles on a straight - line is \(180^{\circ}\). Let the angle adjacent to \(x^{\circ}\) be \(y = 113^{\circ}\). Then \(x + y=180^{\circ}\), so \(x = 180 - 113\).

Answer:

\(x = 67^{\circ}\)