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: Identify alternate exterior angles

Alternate exterior angles are on the outside of the two lines and on opposite sides of the transversal. So, $\angle 1$ and $\angle 8$ are alternate exterior angles.

Step2: Identify alternate interior angles

Alternate interior angles are on the inside of the two lines and on opposite sides of the transversal. So, $\angle 6$ and $\angle 3$ are alternate interior angles.

Step3: Identify corresponding angles

Corresponding angles are in the same relative position. So, $\angle 5$ and $\angle 7$ are corresponding angles.

Answer:

(a) Alternate exterior angles: $\angle 1$ and $\angle 8$
(b) Alternate interior angles: $\angle 6$ and $\angle 3$
(c) Corresponding angles: $\angle 5$ and $\angle 7$