https://file.aiquickdraw.com/mathbot/file/1728361538967vuckcwub.jpg

Let's break down the classification of the angles based on the diagram provided:

### 7. ∠4 and ∠9
- **Answer**: Alternate Interior Angles
- These angles are on opposite sides of the transversal and between the two parallel lines.

### 8. ∠1 and ∠9
- **Answer**: Corresponding Angles
- Corresponding angles are on the same side of the transversal, one inside and one outside the parallel lines, in the same relative position.

### 9. ∠1 and ∠12
- **Answer**: Alternate Exterior Angles
- These angles are on opposite sides of the transversal but outside the parallel lines.

### 10. ∠6 and ∠1
- **Answer**: Same-Side Exterior Angles (also called Consecutive Exterior Angles)
- These angles are on the same side of the transversal and both outside the parallel lines.

### 11. ∠4 and ∠7
- **Answer**: Consecutive Interior Angles
- Consecutive interior angles are on the same side of the transversal and inside the parallel lines.

Would you like more details on any of these classifications?

Here are 5 relative questions to expand your understanding:
1. What is the definition of alternate interior angles?
2. How do corresponding angles help in proving two lines are parallel?
3. Can same-side interior angles ever be congruent?
4. What other angle pairs exist when dealing with two parallel lines and a transversal?
5. How do you calculate the measures of these angles if the transversal forms given angles?

**Tip**: Remember, if two parallel lines are cut by a transversal, corresponding angles are always congruent.

In Exercises 7-11, classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles.

Learn how to classify angle pairs such as corresponding, alternate interior, alternate exterior, and consecutive interior angles in the context of parallel lines and a transversal. Explore key geometry concepts like angle relationships with a step-by-step breakdown of each pair.

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