Question

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

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position. For example, $\angle1$ and $\angle5$ are corresponding angles.

Step2: Recall alternate - interior angles definition

Alternate - interior angles are between the two parallel lines and on opposite sides of the transversal. $\angle3$ and $\angle6$ are alternate - interior angles.

Step3: Recall alternate - exterior angles definition

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

Answer:

(a) $\angle1$ and $\angle5$
(b) $\angle3$ and $\angle6$
(c) $\angle2$ and $\angle7$