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The problem involves identifying corresponding angles formed by two parallel lines \(DF\) and \(GI\), and a transversal line cutting through them. 

**Corresponding angles** are pairs of angles that are located in the same relative position at each intersection where the transversal crosses the parallel lines.

In this diagram, the transversal \(EH\) cuts through the parallel lines \(DF\) and \(GI\). Based on the choices, we need to find a pair of angles that occupy corresponding positions.

The angle pair that is located in corresponding positions is:

- \( \angle IHJ \) (below line \(GI\) on the right side of the transversal)
- \( \angle FEH \) (below line \(DF\) on the right side of the transversal)

Thus, the correct answer is:
\[
\boxed{\angle IHJ \text{ and } \angle FEH}
\]

Would you like more details or have any other questions?

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Here are 5 related questions you might consider:
1. What are alternate interior angles in this diagram?
2. How do we prove that two angles are corresponding?
3. What are other examples of corresponding angles formed in this diagram?
4. How would the relationship change if the lines were not parallel?
5. How can you use corresponding angles to find unknown angle measures?

**Tip:** Corresponding angles are always equal when two parallel lines are cut by a transversal.

Learn how to identify corresponding angles in a diagram where two parallel lines are cut by a transversal. Explore how the corresponding angle postulate is applied to solve this problem, suitable for Grades 7-9 geometry students.

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