Question

parallel lines & transversals schoology assignment identify a pair of alternate exterior angles. ∠3 and ∠6 ∠6 and ∠8 ∠3 and ∠2 ∠2 and ∠7

Explanation:

Step1: Recall alternate - exterior angles definition

Alternate - exterior angles are non - adjacent angles that lie outside two parallel lines and on opposite sides of a transversal.

Step2: Analyze each option

For the given set of parallel lines and transversal:

• Option 1: $\angle3$ and $\angle6$ are alternate - exterior angles. $\angle3$ is outside the two parallel lines and on one side of the transversal, and $\angle6$ is outside the two parallel lines and on the opposite side of the transversal.
• Option 2: $\angle6$ and $\angle8$ are adjacent angles.
• Option 3: $\angle3$ and $\angle2$ are not in the correct position for alternate - exterior angles.
• Option 4: $\angle2$ and $\angle7$ are not alternate - exterior angles.

Answer:

$\angle3$ and $\angle6$