Question

identify a pair of alternate exterior angles. choose the correct answer below. a. ∠3 and ∠2 b. ∠3 and ∠6 c. ∠6 and ∠8 d. ∠2 and ∠7

Explanation:

Step1: Recall alternate - exterior angles definition

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

Step2: Analyze each option

• Option A: $\angle3$ and $\angle2$ are adjacent angles, not alternate - exterior angles.
• Option B: $\angle3$ and $\angle6$ are non - adjacent, lie outside the two lines and on opposite sides of the transversal. They are alternate - exterior angles.
• Option C: $\angle6$ and $\angle8$ are adjacent angles, not alternate - exterior angles.
• Option D: $\angle2$ and $\angle7$ are interior angles, not exterior angles.

Answer:

B. $\angle3$ and $\angle6$