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From the diagram, we need to determine which pair of angles are corresponding angles, given that \(\overline{HJ}\) and \(\overline{KM}\) are parallel and \(\overline{IL}\) is the transversal.

Corresponding angles are the angles that are formed on the same side of the transversal and in corresponding positions relative to the parallel lines. Based on the diagram and definitions:

1. **∠HIL and ∠JIG** are corresponding angles. Both angles are on the same side of the transversal \(\overline{IL}\), ∠HIL is above \(\overline{HJ}\) and ∠JIG is above \(\overline{KM}\).

Thus, you should pick **∠HIL and ∠JIG** as the pair of corresponding angles.

Would you like more detail on how to identify corresponding angles or any further explanations on the topic? Here are some related questions you might find useful:

1. What are alternate interior angles and which in the diagram are they?
2. How do you determine angles that are supplementary in this setup?
3. Can you find any consecutive interior angles in this diagram?
4. What method can be used to verify if two lines are actually parallel?
5. What role does the transversal play in determining the relationship between angles?

**Tip:** Remember, corresponding angles in the case of parallel lines intersected by a transversal are always equal. This property can be very useful in solving problems involving parallel lines.

Which angles are corresponding angles? ∠HIL and ∠JIG, ∠HIL and ∠KLN, ∠HIL and ∠MLN, or ∠HIL and ∠JIL?

Learn how to identify corresponding angles in a diagram with parallel lines cut by a transversal. This example focuses on ∠HIL and ∠JIG, ∠HIL and ∠KLN, and more. Suitable for students in Grades 7-9.

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