Question

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

Explanation:

Step1: Use linear - pair property

Since \(x\) and \(49^{\circ}\) form a linear - pair (two adjacent angles whose non - common sides are opposite rays), the sum of the angles in a linear - pair is \(180^{\circ}\). So \(x + 49^{\circ}=180^{\circ}\).
\[x=180^{\circ}-49^{\circ}\]
\[x = 131^{\circ}\]

Step2: Use corresponding - angles property

Because \(m\parallel n\), \(y\) and \(49^{\circ}\) are corresponding angles. Corresponding angles formed by two parallel lines and a transversal are equal. So \(y = 49^{\circ}\).

Answer:

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