When 2 parallel lines are cut by a transversal, which angle pairs produce supplementary angles? Select all that apply

Responses

Alternate Interior and Alternate Exterior

Alternate Interior and Alternate Exterior

Corresponding

Corresponding

Vertical

Vertical

Same Side Interior and Same Side Exterior

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.

When 2 parallel lines are cut by a transversal, which angle pairs produce supplementary angles? Select all that apply.

Explore which angle pairs are supplementary when parallel lines are cut by a transversal. This lesson covers same side interior and exterior angles, alongside definitions of alternate and corresponding angles, suitable for students in Grades 7-9.

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