Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

answer attempt 9 out of 99 angle 1 & angle 7, and angle 2 & angle 8 are…

Question

answer attempt 9 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 angle relationships

Alternate exterior angles are formed when a transversal crosses two parallel lines. They are on the outer side of the two parallel lines and on opposite sides of the transversal.

Step2: Check congruency and supplementary

By the Alternate Exterior Angles Theorem, alternate exterior angles are always congruent. For supplementary angles, their sum should be \(180^{\circ}\). But since the lines are parallel (assuming standard geometry problem setup with parallel lines as in typical angle - relationship problems), alternate exterior angles are congruent. If the angle is not \(90^{\circ}\), they are not supplementary.

Answer:

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.