Question

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

Explanation:

Step1: Recall 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: Recall corresponding angles

Corresponding angles are in the same relative position with respect to the lines and the transversal. So, $\angle2$ and $\angle6$ are corresponding angles.

Step3: Recall alternate - exterior angles

Alternate - exterior angles are outside the two lines and on opposite sides of the transversal. So, $\angle1$ and $\angle8$ are alternate - exterior angles.

Answer:

(a) $\angle4$ and $\angle5$
(b) $\angle2$ and $\angle6$
(c) $\angle1$ and $\angle8$