When two parallel lines are cut by a transversal, the angle pairs that produce supplementary angles are:

1. Same Side Interior Angles: These angles are on the same side of the transversal and between the two parallel lines. They are supplementary.

2. Same Side Exterior Angles: These angles are on the same side of the transversal but outside the two parallel lines. They are also supplementary.

The other angle pairs listed do not produce supplementary angles:

• Alternate Interior Angles: Equal, not supplementary.
• Alternate Exterior Angles: Equal, not supplementary.
• Corresponding Angles: Equal, not supplementary.
• Vertical Angles: Equal, not supplementary.

Thus, the correct responses are Same Side Interior and Same Side Exterior.

If you have any questions or need further clarification, feel free to ask! Here are some related questions you might consider:

1. What is the definition of supplementary angles?
2. Can you give an example of same side interior angles?
3. How do vertical angles relate to the angles formed by a transversal?
4. What are the properties of corresponding angles?
5. How would the situation change if the lines were not parallel?

Tip: When working with angles formed by transversals, drawing diagrams can greatly help visualize the relationships between the angles.