Question

give a pair of corresponding angles, a pair of alternate exterior angles, and a pair of alternate interior angles.
(a) corresponding angles: \\(\angle \square\\) and \\(\angle \square\\)
(b) alternate exterior angles: \\(\angle \square\\) and \\(\angle \square\\)
(c) alternate interior angles: \\(\angle \square\\) and \\(\angle \square\\)

Explanation:

1. Corresponding angles: These lie in the same relative position (e.g., above the parallel line, left of the transversal) at each intersection.
2. Alternate exterior angles: These lie outside the parallel lines, on opposite sides of the transversal.
3. Alternate interior angles: These lie between the parallel lines, on opposite sides of the transversal.

Answer:

(a) Corresponding angles: $\angle 1$ and $\angle 3$
(b) Alternate exterior angles: $\angle 1$ and $\angle 7$
(c) Alternate interior angles: $\angle 2$ and $\angle 7$

Note: Other valid pairs exist, e.g., (a) $\angle 5$ and $\angle 7$, (b) $\angle 5$ and $\angle 3$, (c) $\angle 6$ and $\angle 3$