Question

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

Explanation:

Step1: Recall alternate - exterior angles definition

Alternate - exterior angles are outside the two parallel lines and on opposite sides of the transversal. So, $\angle2$ and $\angle7$ are alternate - exterior angles.

Step2: Recall alternate - interior angles definition

Alternate - interior angles are between the two parallel lines and on opposite sides of the transversal. So, $\angle4$ and $\angle5$ are alternate - interior angles.

Step3: Recall corresponding angles definition

Corresponding angles are in the same relative position with respect to the parallel lines and the transversal. So, $\angle1$ and $\angle5$ are corresponding angles.

Answer:

(a) Alternate exterior angles: $\angle2$ and $\angle7$
(b) Alternate interior angles: $\angle4$ and $\angle5$
(c) Corresponding angles: $\angle1$ and $\angle5$