Question

given m || n, find the value of x and y. answer attempt 1 out of 100 x = y =

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the angle of \(141^{\circ}\) and \(x\) are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal. So \(x = 141^{\circ}\).

Step2: Use linear - pair property

The angle \(x\) and \(y\) form a linear - pair. A linear - pair of angles is supplementary, that is \(x + y=180^{\circ}\). Substitute \(x = 141^{\circ}\) into the equation: \(y=180 - x\). Then \(y = 180-141=39^{\circ}\).

Answer:

\(x = 141\), \(y = 39\)