Question

ack to home due 10/16 credit until: october 21 at 8:00 am e: 0% question question scientific calculator graphing calculator alain lee jr san diego log out answer attempt 7 out of 99 angle 1 & angle 7, and angle 2 & angle 8 are pairs of alternate exterior angles. these angles are sometimes congruent. these angles are not supplementary.

Explanation:

Step1: Recall alternate exterior angles definition

Alternate exterior angles are formed when a transversal crosses two lines. They lie outside the two lines and on opposite sides of the transversal. In the given diagram, Angle 1 & Angle 7, and Angle 2 & Angle 8 fit this definition.

Step2: Check congruency condition

Alternate exterior angles are congruent if the two lines crossed by the transversal are parallel. Since the problem doesn't state the lines are parallel, we can't assume congruency. So they are sometimes congruent.

Step3: Check supplementary condition

Supplementary angles add up to \(180^{\circ}\). Alternate exterior angles have no inherent property to add up to \(180^{\circ}\) (unless specific angle measures or parallel - line - with - right - angle conditions are given, which aren't here). So they are not 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 supplementary.