Question

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

Explanation:

Step1: Recall Corresponding Angles

Corresponding angles are in the same position relative to the transversal and the parallel lines. For example, ∠1 and ∠3 (both bottom - left), ∠5 and ∠7 (both top - left), ∠6 and ∠8 (both top - right), ∠2 and ∠4 (both bottom - right) are corresponding angles. Let's take ∠1 and ∠3.

Step2: Recall Alternate Exterior Angles

Alternate exterior angles are on opposite sides of the transversal and outside the parallel lines. ∠5 and ∠4 (∠5 is top - left outside, ∠4 is bottom - right outside), or ∠1 and ∠8 (∠1 is bottom - left outside, ∠8 is top - right outside). Let's take ∠5 and ∠4.

Step3: Recall Alternate Interior Angles

Alternate interior angles are on opposite sides of the transversal and inside the parallel lines. ∠2 and ∠7 (∠2 is bottom - right inside, ∠7 is top - left inside), or ∠6 and ∠3 (∠6 is top - right inside, ∠3 is bottom - left inside). Let's take ∠2 and ∠7.

Answer:

(a) Corresponding angles: $\angle1$ and $\angle3$ (or other valid pairs like $\angle5$ and $\angle7$, $\angle6$ and $\angle8$, $\angle2$ and $\angle4$)
(b) Alternate exterior angles: $\angle5$ and $\angle4$ (or $\angle1$ and $\angle8$)
(c) Alternate interior angles: $\angle2$ and $\angle7$ (or $\angle6$ and $\angle3$)

(Note: There are multiple correct answers for each part. The above are just examples. For example, for part (a) another valid pair is $\angle5$ and $\angle7$, for part (b) $\angle1$ and $\angle8$, for part (c) $\angle6$ and $\angle3$)