Question

parallel lines/traversal
make two selections...

1. what are the angles called?
2. what is the correct equation set up?

(select all that apply.)
□ alternate interior
□ alternate exterior
□ corresponding
□ consecutive
□ (20x - 5+6x + 3 = 180)
□ (20x - 5 = 6x + 3)

Explanation:

Step1: Identify the type of angles

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary (sum to \(180^{\circ}\)). The given angles \((20x - 5)^{\circ}\) and \((6x+3)^{\circ}\) are consecutive interior angles.

Step2: Set up the equation

Since consecutive interior angles are supplementary, we set up the equation \(20x - 5+6x + 3=180\)

Answer:

1. Consecutive
2. \(20x - 5+6x + 3 = 180\)