Question

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

Explanation:

Step1: Recall alternate exterior angles

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

Step2: Recall alternate interior angles

Alternate interior angles are between the two lines and on opposite sides of the transversal. Thus, $\angle2$ and $\angle8$ are alternate interior angles.

Step3: Recall corresponding angles

Corresponding angles are in the same relative position with respect to the lines and the transversal. Hence, $\angle1$ and $\angle3$ are corresponding angles.

Answer:

(a) $\angle1$ and $\angle7$
(b) $\angle2$ and $\angle8$
(c) $\angle1$ and $\angle3$