Question

answer attempt 4 out of 99
angle 1 & angle 7, and angle 2 & angle 8 are pairs of alternate exterior angles. these
angles are always congruent. these angles are not supplementary.

Explanation:

Step1: Recall alternate exterior angles property

Alternate exterior angles are formed when a transversal crosses two parallel lines.

Step2: Analyze congruency

By the Alternate Exterior Angles Theorem, when two parallel lines are cut by a transversal, alternate exterior angles are congruent. But if the lines are not parallel, alternate exterior angles are not congruent. So they are sometimes congruent.

Step3: Analyze supplementary property

Supplementary angles add up to \(180^{\circ}\). Alternate exterior angles are only supplementary if each is \(90^{\circ}\) (i.e., when lines are perpendicular), which is a special case. So they are not always supplementary.

Answer:

Angle 1 & Angle 7, and Angle 2 & Angle 8 are pairs of alternate exterior angles. These angles are sometimes congruent. These angles are not always supplementary.