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

Explanation:

Step1: Identify alternate - interior angles

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

Step2: Identify corresponding angles

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

Step3: Identify alternate - exterior angles

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

Answer:

(a) $\angle4$ and $\angle5$ (b) $\angle1$ and $\angle5$ (c) $\angle2$ and $\angle7$