Question

give a pair of alternate interior angles, a pair of alternate exterior angles, and a pair of corresponding angles.

Explanation:

Step1: Identify alternate - interior angles

Alternate - interior angles are between the two parallel lines and on opposite sides of the transversal. So, $\angle3$ and $\angle5$ is a pair.

Step2: Identify alternate - exterior angles

Alternate - exterior angles are outside the two parallel lines and on opposite sides of the transversal. So, $\angle2$ and $\angle8$ is a pair.

Step3: Identify corresponding angles

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

Answer:

(a) $\angle3$ and $\angle5$
(b) $\angle2$ and $\angle8$
(c) $\angle1$ and $\angle5$