Question

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

Explanation:

Step1: Use linear - pair property

Since \(x\) and \(130^{\circ}\) form a linear - pair, the sum of the angles in a linear - pair is \(180^{\circ}\). So \(x + 130^{\circ}=180^{\circ}\).
\[x=180^{\circ}- 130^{\circ}=50^{\circ}\]

Step2: Use corresponding - angles property

Because \(m\parallel n\), \(y\) and the \(130^{\circ}\) angle are corresponding angles. Corresponding angles formed by two parallel lines and a transversal are equal. So \(y = 130^{\circ}\).

Answer:

\(x = 50^{\circ}\), \(y = 130^{\circ}\)