Question

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

Explanation:

Step1: Identify corresponding angles

Corresponding angles occupy matching positions relative to the parallel lines and transversal. For example, $\angle 1$ and $\angle 5$ are in the top-left position of their respective intersections.

Step2: Identify alternate interior angles

Alternate interior angles lie between the parallel lines, on opposite sides of the transversal. $\angle 3$ and $\angle 5$ fit this description.

Step3: Identify alternate exterior angles

Alternate exterior angles lie outside the parallel lines, on opposite sides of the transversal. $\angle 1$ and $\angle 7$ fit this description.

Answer:

(a) Corresponding angles: $\angle 1$ and $\angle 5$
(b) Alternate interior angles: $\angle 3$ and $\angle 5$
(c) Alternate exterior angles: $\angle 1$ and $\angle 7$

(Note: Other valid pairs exist, e.g., $\angle 2$ & $\angle 6$, $\angle 4$ & $\angle 8$, $\angle 3$ & $\angle 7$ for corresponding angles; $\angle 4$ & $\angle 6$ for alternate interior; $\angle 2$ & $\angle 8$ for alternate exterior.)