Question

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

Explanation:

Step1: Recall alternate - exterior angles definition

Alternate - exterior angles are on the outside of two parallel lines and on opposite sides of the transversal. Here, $\angle1$ and $\angle7$ are alternate - exterior angles.

Step2: Recall corresponding angles definition

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

Step3: Recall alternate - interior angles definition

Alternate - interior angles are on the inside of two parallel lines and on opposite sides of the transversal. $\angle3$ and $\angle5$ are alternate - interior angles.

Answer:

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