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

Explanation:

Step1: Recall angle - pair definitions

Alternate exterior angles are outside the two lines and on opposite sides of the transversal.

Step2: Identify alternate exterior angles

For lines (m) and (n) cut by transversal (b), (\angle2) and (\angle7) are alternate exterior angles.

Step3: Recall alternate - interior angles definition

Alternate interior angles are between the two lines and on opposite sides of the transversal.

Step4: Identify alternate interior angles

(\angle4) and (\angle5) are alternate interior angles.

Step5: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the lines and the transversal.

Step6: Identify corresponding angles

(\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)