Question

given m || n, find the value of x and y. answer attempt 4 out of 100

Explanation:

Step1: Identify angle - relationship for \(x\)

Since \(m\parallel n\), \(x\) and the \(53^{\circ}\) angle are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal. So \(x = 53\).

Step2: Identify angle - relationship for \(y\)

\(y\) and the \(53^{\circ}\) angle are supplementary angles (a linear - pair). The sum of angles in a linear - pair is \(180^{\circ}\). So \(y=180 - 53\).

$$y = 127$$

Answer:

\(x = 53\), \(y = 127\)