Question

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

Explanation:

• Alternate interior angles: These are non-adjacent angles that lie between the two parallel lines and on opposite sides of the transversal. $\angle 2$ and $\angle 7$ fit this definition.
• Alternate exterior angles: These are non-adjacent angles that lie outside the two parallel lines and on opposite sides of the transversal. $\angle 1$ and $\angle 8$ fit this definition.
• Corresponding angles: These are angles that lie in the same relative position (e.g., above the parallel line, left of the transversal) at each intersection. $\angle 1$ and $\angle 3$ fit this definition.

Answer:

(a) $\angle 2$ and $\angle 7$
(b) $\angle 1$ and $\angle 8$
(c) $\angle 1$ and $\angle 3$