Question

Classify each pair of angles as alternate interior angles, same-side interior angles, or corresponding angles.

and

Short answer

andforms pair of corresponding 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 angles 3 and angles 1 as a pair of any of three angles.

From above figure, observe that and are in the corresponding position.

Thus, by using the above definitions, it can be said that and are corresponding angles.