Question

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

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the angle of \(122^{\circ}\) and \(y\) are corresponding - angles. So \(y = 122^{\circ}\).

Step2: Use supplementary - angles property

The angle \(x\) and \(y\) are supplementary (linear pair). Since \(y = 122^{\circ}\), and \(x + y=180^{\circ}\), then \(x=180 - y\). Substitute \(y = 122^{\circ}\) into the equation, we get \(x = 180-122=58^{\circ}\).

Answer:

\(x = 58^{\circ}\), \(y = 122^{\circ}\)