Question

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

Explanation:

Step1: Recall Alternate Exterior Angles

Alternate exterior angles are on opposite sides of the transversal and outside the two lines. So ∠1 and ∠8 (or ∠2 and ∠7) are alternate exterior angles. Let's take ∠1 and ∠8.

Step2: Recall Corresponding Angles

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

Step3: Recall Alternate Interior Angles

Alternate interior angles are on opposite sides of the transversal and inside the two lines. So ∠3 and ∠6 (or ∠4 and ∠5) are alternate interior angles. Let's take ∠3 and ∠6.

Answer:

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

(Note: Other valid pairs exist based on angle position definitions.)