Question

Classify each pair of angles as alternate interior angles, same-side interior angles, corresponding angles, or none of these.

and

Short answer

and forms a pair of same-side interior angles.

Step-by-step solution

Step 1. Alternate interior angles

These are the two non-adjacent interior angles which are on the opposite sides of the transversal.

Step 2. Same-side interior angles

These are the two interior angles which are on the same sides of the transversal.

Step 3. Corresponding angles

These are the two angles which relative to the two lines are in the corresponding position.

Step 4. Classify angle 2 and angle 3 as a pair of any of three angles.

From above figure, observe that and the two interior angles which are on the same sides of the transversal.

Thus, by using the above definitions, it can be said that and are Same-side interior angles.