Question

lines x and y are parallel. find m∠afb.

Explanation:

Step1: Find the angle adjacent to \(118^{\circ}\)

Since the sum of adjacent angles on a straight line is \(180^{\circ}\), the angle adjacent to \(118^{\circ}\) is \(180 - 118=62^{\circ}\)

Step2: Use the property of parallel lines and transversals (angle - sum in a triangle - like figure)

We know that \(m\angle AFB=65 + 62\) (by the property of angles formed by parallel lines and transversals, similar to the exterior - angle property in a non - triangle figure formed by parallel lines and intersecting lines)

Answer:

\(127^{\circ}\)