Question

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

Explanation:

Step1: Recall alternate - interior angles

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

Step2: Recall alternate - exterior angles

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

Step3: Recall corresponding angles

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

Answer:

(a) Alternate interior angles: $\angle3$ and $\angle6$
(b) Alternate exterior angles: $\angle2$ and $\angle7$
(c) Corresponding angles: $\angle1$ and $\angle5$