Question

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

Explanation:

• Alternate exterior angles lie outside the two parallel lines, on opposite sides of the transversal.
• Alternate interior angles lie between the two parallel lines, on opposite sides of the transversal.
• Corresponding angles occupy matching positions relative to the parallel lines and transversal.

Answer:

(a) Alternate exterior angles: $\angle 2$ and $\angle 7$
(b) Alternate interior angles: $\angle 3$ and $\angle 6$
(c) Corresponding angles: $\angle 2$ and $\angle 6$

(Note: Other valid pairs exist, e.g., $\angle 1$ & $\angle 8$ for alternate exterior, $\angle 4$ & $\angle 5$ for alternate interior, $\angle 1$ & $\angle 5$, $\angle 3$ & $\angle 7$, $\angle 4$ & $\angle 8$ for corresponding angles.)