Question

give a pair of alternate interior angles, a pair of alternate exterior angles, and a pair of corresponding angles.
(a) alternate interior angles:
∠□ and ∠□
(b) alternate exterior angles:
∠□ and ∠□
(c) corresponding angles:
∠□ and ∠□

Explanation:

Step1: Recall Alternate Interior Angles

Alternate interior angles are between the two parallel lines (a and b) and on opposite sides of the transversal (n). So, ∠2 and ∠7 (or ∠3 and ∠6) are alternate interior angles. Let's take ∠2 and ∠7.

Step2: Recall Alternate Exterior Angles

Alternate exterior angles are outside the two parallel lines and on opposite sides of the transversal. So, ∠1 and ∠8 (or ∠4 and ∠5) are alternate exterior angles. Let's take ∠1 and ∠8.

Step3: Recall Corresponding Angles

Corresponding angles are in the same position relative to the parallel lines and the transversal. So, ∠1 and ∠3 (or ∠2 and ∠4, ∠5 and ∠7, ∠6 and ∠8) are corresponding angles. Let's take ∠1 and ∠3.

Answer:

(a) Alternate interior angles: $\angle 2$ and $\angle 7$ (or $\angle 3$ and $\angle 6$)
(b) Alternate exterior angles: $\angle 1$ and $\angle 8$ (or $\angle 4$ and $\angle 5$)
(c) Corresponding angles: $\angle 1$ and $\angle 3$ (or $\angle 2$ and $\angle 4$, $\angle 5$ and $\angle 7$, $\angle 6$ and $\angle 8$)