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

and

In the diagram the angles are mentioned by the numbers. $\angle 6,\angle 7,\angle 10,\angle 11$re interior angles and rest of them are exterior angles.

Alternate interior angles: These are the two nonadjacent interior angles which are on the opposite sides of the transversal.

Same-side interior angles: These are the two interior angles which are on the same sides of the transversal.

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

Consider the figure

It can be observed that pair of angles ($\angle 7$and $\angle 11$) and ($\angle 6$and $\angle 10$) are two pairs of interior angles which are on the same sides of the transversal.

Thus, by using the above definitions, it can be said that $\angle 7$and $\angle 11$are Same-side interior angles.

In the diagram, the angles are mentioned by the numbers. , ,,are interior angles and the rest of them are exterior angles.

Alternate interior angles: These are the two nonadjacent interior angles that are on the opposite sides of the transversal.

Same-side interior angles: These are the two interior angles that are on the same sides of the transversal.

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

Consider the figure

It can be observed that pair of angles ( and ) and (and ) are two pairs of interior angles that are on the same sides of the transversal.

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