Question

which diagram shows parallel lines cut by a transversal? 75° 80° 85° 81° 130° 50°

Explanation:

Step1: Recall properties of parallel lines cut by a transversal

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

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.