Question

(practice) lines x and y are parallel. write an equation that represents the relationship between b and another angle. explain how you know this equation is always true b + □ = 180 because □

Explanation:

Step1: Identify the relationship between angles

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary.

Step2: Determine the angle related to \(b\)

Angle \(g\) and angle \(b\) are consecutive interior angles.

Answer:

\(b + g=180\) because when two parallel lines (\(x\) and \(y\)) are cut by a transversal, consecutive interior angles (here \(b\) and \(g\)) are supplementary.