Question

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

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the angle of \(41^{\circ}\) and \(x\) are corresponding angles. So \(x = 41^{\circ}\).

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 \(x = 41^{\circ}\), then \(y=180 - x\). Substituting \(x = 41^{\circ}\) into the equation, we get \(y = 180-41=139^{\circ}\).

Answer:

\(x = 41^{\circ},y = 139^{\circ}\)