Question

given m || n, find the value of x and y.

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the angle of \(61^{\circ}\) and \(y\) are corresponding angles. So \(y = 61^{\circ}\).

Step2: Use linear - pair property

The angles \(x\) and \(y\) form a linear - pair. Since the sum of angles in a linear - pair is \(180^{\circ}\), and \(y = 61^{\circ}\), then \(x=180 - y\). Substitute \(y = 61^{\circ}\) into the formula, we get \(x = 180-61=119^{\circ}\).

Answer:

\(x = 119^{\circ}\), \(y = 61^{\circ}\)