Question

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

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the angle of \(47^{\circ}\) and \(x\) are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal. So \(x = 47^{\circ}\).

Step2: Find the value of \(y\)

The angle \(x\) and \(y\) are supplementary angles (a linear - pair). The sum of angles in a linear - pair is \(180^{\circ}\). So \(y=180 - x\). Substitute \(x = 47^{\circ}\) into the equation, we get \(y = 180-47=133^{\circ}\).

Answer:

\(x = 47^{\circ}\), \(y = 133^{\circ}\)