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 \(x = 41\).

Step2: Use linear - pair property

The angle of \(y\) and the \(41^{\circ}\) angle form a linear - pair. Since the sum of angles in a linear - pair is \(180^{\circ}\), we have \(y=180 - 41\).
\[y = 139\]

Answer:

\(x = 41\)
\(y = 139\)