Question

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

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the angle of \(53^{\circ}\) and \(x\) are corresponding - angles. So \(x = 53\).

Step2: Use vertical - angles property

The angle \(y\) and the \(53^{\circ}\) angle are vertical angles. Vertical angles are equal. So \(y=53\).

Answer:

\(x = 53\), \(y = 53\)