Question

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

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the angle of \(36^{\circ}\) and \(x^{\circ}\) are corresponding - angles. Corresponding angles formed by two parallel lines and a transversal are equal. So \(x = 36\).

Step2: Use linear - pair property

The angles \(x^{\circ}\) and \(y^{\circ}\) form a linear pair. A linear pair of angles is supplementary, that is \(x + y=180\). Substitute \(x = 36\) into the equation: \(36 + y=180\). Then \(y=180 - 36=144\).

Answer:

\(x = 36\), \(y = 144\)