Question

two parallel lines are intersected by a third line so that angles 1 and 5 are congruent. which statement is true about angles 3 and 5? they are acute. they are congruent. they are complementary. they are supplementary.

Explanation:

Step1: Recall angle - relationships in parallel lines

When two parallel lines are intersected by a transversal, corresponding angles are congruent, vertical angles are congruent, and same - side interior angles are supplementary. Angle 1 and angle 5 are corresponding angles. Angle 3 and angle 5 are same - side interior angles.

Step2: Apply the property of same - side interior angles

The sum of same - side interior angles formed by two parallel lines and a transversal is 180 degrees. So, if two angles are same - side interior angles, they are supplementary.

Answer:

They are supplementary.