Question

given m || n, find the value of x and y. (diagram shows parallel lines m, n, transversal, angle 125°, angles x° and y°)

Explanation:

Step1: Find x (supplementary angles)

Supplementary angles sum to \(180^\circ\). So \(x + 125 = 180\), \(x = 180 - 125 = 55\).

Step2: Find y (corresponding or alternate interior)

Since \(m \parallel n\), \(y = x\) (alternate interior angles are equal), so \(y = 55\).

Answer:

\(x = 55\), \(y = 55\)