Question

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

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Since \(x\) and \(49^{\circ}\) are vertical angles, \(x = 49^{\circ}\).

Step2: Use corresponding - angle property

Since \(m\parallel n\), \(y\) and the angle adjacent to \(49^{\circ}\) (which forms a straight - line with \(49^{\circ}\)) are corresponding angles. The angle adjacent to \(49^{\circ}\) is \(180 - 49=131^{\circ}\) (linear - pair property). So \(y = 131^{\circ}\).

Answer:

\(x = 49^{\circ},y = 131^{\circ}\)