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To solve the question about consecutive interior angles, let's analyze the diagram and define what "consecutive interior angles" are:

**Consecutive interior angles** occur when two parallel lines are intersected by a transversal. The interior angles on the same side of the transversal are called consecutive interior angles, and they add up to 180 degrees.

### In this case:
- The lines \(KN\) and \(IJ\) are parallel, and \(L\) is the point where the transversal line \(ML\) intersects them.
- Consecutive interior angles will appear on the inside of the parallel lines on the same side of the transversal.

### Identifying the Consecutive Interior Angles:
- **\( \angle MLN \)** is an interior angle on the left side of the transversal between the lines \(KN\) and \(IJ\).
- **\( \angle HIL \)** is its consecutive interior angle, as both angles are on the same side of the transversal \(LI\) and inside the parallel lines.

Thus, the correct answer is:
- \( \angle MLN \) and \( \angle HIL \)

### Would you like further details on consecutive interior angles, or do you have any questions?

Here are five related questions to deepen your understanding:
1. How can you confirm that two lines are parallel using angle relationships?
2. What is the sum of consecutive interior angles in a parallel lines setup?
3. Can you identify alternate interior angles in the same diagram?
4. What other pairs of angles can be identified when a transversal intersects parallel lines?
5. How would the angle relationships change if the lines were not parallel?

**Tip:** Always remember that consecutive interior angles are supplementary (they sum to 180°) when dealing with parallel lines intersected by a transversal.

Which angles are consecutive interior angles?

Learn how to identify consecutive interior angles when parallel lines are intersected by a transversal. This problem covers key geometric concepts and is suitable for students in Grades 7-9.

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