Question

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

Explanation:

Step1: Identify alternate interior angles

Alternate interior angles are non - adjacent angles between two lines and on opposite sides of a transversal. In the given figure, $\angle2$ and $\angle7$ are alternate interior angles.

Step2: Identify corresponding angles

Corresponding angles are in the same relative position. Here, $\angle5$ and $\angle7$ are corresponding angles.

Step3: Identify alternate exterior angles

Alternate exterior angles are non - adjacent angles outside the two lines and on opposite sides of the transversal. $\angle1$ and $\angle3$ are alternate exterior angles.

Answer:

(a) $\angle2$ and $\angle7$
(b) $\angle5$ and $\angle7$
(c) $\angle1$ and $\angle3$