Question

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

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), \(x = 142^{\circ}\) (corresponding angles are equal).

Step2: Use linear - pair property

\(y+142^{\circ}=180^{\circ}\) (linear - pair of angles). Then \(y = 180^{\circ}-142^{\circ}=38^{\circ}\).

Answer:

\(x = 142^{\circ}, y = 38^{\circ}\)