Question

applying angle relationships to justify parallel lines
which diagram shows parallel lines cut by a transversal?

Explanation:

Step1: Recall the properties of parallel lines cut by a transversal

When parallel lines are cut by a transversal, consecutive interior angles are supplementary (sum to \(180^{\circ}\)).

Step2: Check each diagram

• For the first diagram: \(75 + 80=155

eq180\)

• For the second diagram: \(85 + 81 = 166

eq180\)

• For the third diagram: \(130+50 = 180\)

Answer:

The third diagram.