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 Angle Definitions

• Corresponding angles: Same position relative to transversal and parallel lines. E.g., ∠1 and ∠5 (top - left of each intersection).
• Alternate exterior angles: Outside parallel lines, opposite sides of transversal. E.g., ∠1 and ∠8 (∠1 is top - left outside, ∠8 is bottom - right outside, opposite sides of transversal \(h\)).
• Alternate interior angles: Inside parallel lines, opposite sides of transversal. E.g., ∠3 and ∠6 (∠3 is bottom - left inside, ∠6 is top - right inside, opposite sides of transversal \(h\)).

Step2: Identify Each Pair

• (a) Corresponding angles: ∠1 and ∠5 (or other valid pairs like ∠2 and ∠6, ∠3 and ∠7, ∠4 and ∠8).
• (b) Alternate exterior angles: ∠1 and ∠8 (or ∠2 and ∠7).
• (c) Alternate interior angles: ∠3 and ∠6 (or ∠4 and ∠5).

Answer:

(a) Corresponding angles: $\angle 1$ and $\angle 5$ (answers may vary, e.g., $\angle 2$ and $\angle 6$, etc.)
(b) Alternate exterior angles: $\angle 1$ and $\angle 8$ (answers may vary, e.g., $\angle 2$ and $\angle 7$, etc.)
(c) Alternate interior angles: $\angle 3$ and $\angle 6$ (answers may vary, e.g., $\angle 4$ and $\angle 5$, etc.)