two parallel lines are intersected by a third line so that angles 1 and 5 are congruent. which statement is…

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.

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.

Answer

Answer:

D. They are supplementary.

Explanation:

Step1: Recall angle - pair relationships

When two parallel lines are intersected by a transversal, we use angle - pair properties.

Step2: Identify the relationship between ∠3 and ∠5

∠3 and ∠5 are same - side interior angles.

Step3: Apply the property of same - side interior angles

The property of same - side interior angles states that when two parallel lines are cut by a transversal, same - side interior angles are supplementary. That is, the sum of ∠3 and ∠5 is 180°.