Question

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

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the angle of \(61^{\circ}\) and \(y^{\circ}\) are corresponding angles. Corresponding angles formed by two parallel lines and a transversal are equal. So \(y = 61\).

Step2: Use vertical - angles property

The angle \(x^{\circ}\) and \(y^{\circ}\) are vertical angles. Vertical angles are equal. Since \(y = 61\), then \(x=y = 61\).

Answer:

\(x = 61\), \(y = 61\)