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(geometry)

Explanation:

a. Corresponding angles

These are angles in the same direction from the intersection. For example, the angles on the northeast corner are corresponding. They are congruent.

Each intersection has 4 corners, so there are 4 angles that can be corresponding with the 4 angles at the other intersection:

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b. Alternate interior angles

At each intersection of the transversal with the pair of parallel lines, there are two angles between the parallel lines, and two angles outside the space between the lines. The angles between the lines are called "interior" angles. They are "alternate" when one is on one side of the transversal, and the other is on the other side. They are congruent. As there are two interior angles at each intersection, there are two pairs of alternate interior angles.

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c. Same-side interior angles

See the previous section for a discussion of interior angles. They are "same-side" when both angles are on the same side of the transversal. Same-side interior angles are supplementary. There are two interior angles at each intersection, so two pairs of same-side interior angles:

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d. Alternate exterior angles

At each intersection of the transversal with the parallel lines, two of the angles formed are not between the parallel lines. That is what makes them "exterior". They are "alternate" when they are on opposite sides of the transversal. Alternate exterior angles are congruent. There are two pairs of them:

In the above, we have listed all possible examples of the given angle types. The question asks only for a single example. You can choose one from any of the examples listed.