Question

1. which theorem would be used to write ( 3x + 7 + 68 = 180 ) in the diagram below?

corresponding angles theorem
consecutive interior angles theorem
vertical angles theorem
alternate interior angles theorem

Explanation:

The Consecutive Interior Angles Theorem states that when two parallel lines are cut by a transversal, consecutive interior angles are supplementary (sum to \(180^{\circ}\)). In the given equation \(3x + 7+68 = 180\), the two angles (\(3x + 7\) and \(68^{\circ}\)) are consecutive interior angles.

Answer:

Consecutive Interior Angles Theorem