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, $\angle 2$ and $\angle 6$: $\angle 2$ is above line $m$ and to the right of transversal $b$, $\angle 6$ is above line $n$ and to the right of transversal $b$.

Step2: Recall Alternate Exterior Angles

Alternate exterior angles are on opposite sides of the transversal and outside the two lines. $\angle 1$ and $\angle 7$: $\angle 1$ is outside (left of transversal, above $m$), $\angle 7$ is outside (right of transversal, below $n$), opposite sides of transversal.

Step3: Recall Alternate Interior Angles

Alternate interior angles are on opposite sides of the transversal and inside the two lines. $\angle 3$ and $\angle 5$: $\angle 3$ is inside (right of transversal, below $m$), $\angle 5$ is inside (left of transversal, above $n$), opposite sides of transversal.

Answer:

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