https://file.aiquickdraw.com/mathbot/file/1727286055885rzv82x5n.jpg

In the diagram, we are tasked with identifying which angles are alternate exterior angles.

### What are Alternate Exterior Angles?
- **Alternate exterior angles** are angles that lie on opposite sides of a transversal and outside the two lines being crossed by the transversal. These angles are congruent (equal in measure) when the lines crossed by the transversal are parallel.

### Analyzing the Diagram
- The lines \( HJ \) and \( KM \) are two parallel lines, and the line \( GL \) is the transversal cutting across them.
- We are looking for angles that are:
  - On opposite sides of the transversal \( GL \).
  - Located outside of the parallel lines \( HJ \) and \( KM \).

In this case:
- \( \angle MLN \) is on the bottom right (outside \( KM \)).
- \( \angle HIG \) is on the top left (outside \( HJ \)).
  
Thus, the correct pair of alternate exterior angles is **\( \angle MLN \) and \( \angle HIG \)**.

The correct answer is:
- **\( \angle MLN \) and \( \angle HIG \)**.

Would you like more details on alternate exterior angles or have any questions?

### 5 Related Questions:
1. What are alternate interior angles, and how do they differ from alternate exterior angles?
2. How can you prove two lines are parallel using alternate exterior angles?
3. Are alternate exterior angles always congruent?
4. Can alternate exterior angles help determine the measure of other angles in a transversal diagram?
5. What are corresponding angles, and how are they related to alternate exterior angles?

### Tip:
When identifying alternate exterior angles, always focus on the position relative to the transversal and whether they are outside the parallel lines.

Which angles are alternate exterior angles?

Learn how to identify alternate exterior angles in a transversal diagram. This problem involves parallel lines and transversal concepts, suitable for students in Grades 6-8. The correct answer is based on the Alternate Exterior Angles Theorem.

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