Question

problem 5: (first taught in lesson 24) complete this sentence with the best of the choices given. if two lines form ______ interior angles on the same side of a transversal, then the lines are parallel. after you pick your answer press go. a. alternate b. complementary c. adjacent d. supplementary e. acute

Explanation:

Step1: Recall angle - line relationship

If two lines are parallel and a transversal intersects them, the same - side interior angles are supplementary. Conversely, if the same - side interior angles formed by a transversal and two lines are supplementary, then the two lines are parallel.

Step2: Analyze options

Alternate angles are not the ones on the same side of the transversal. Complementary angles add up to 90 degrees and are not relevant here. Adjacent angles share a common side and vertex, not the key property for parallel lines. Acute angles are less than 90 degrees and not relevant for this parallel - line condition. Supplementary angles (sum to 180 degrees) are the correct ones for the given parallel - line condition.

Answer:

D. supplementary