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: Identify Alternate Interior Angles

Alternate interior angles are non - adjacent angles between two lines and on opposite sides of a transversal. Here, $\angle3$ and $\angle5$ fit this definition.

Step2: Identify Corresponding Angles

Corresponding angles are in the same relative position. $\angle1$ and $\angle5$ are corresponding angles.

Step3: Identify Alternate Exterior Angles

Alternate exterior angles are non - adjacent angles outside two lines and on opposite sides of a transversal. $\angle2$ and $\angle7$ are alternate exterior angles.

Answer:

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