The problem you're working on involves identifying alternate interior angles. In this diagram, the lines $\overline{EG}$ and $\overline{HJ}$ are parallel, and the line $\overline{FI}$ is the transversal that intersects them.

Alternate interior angles

• Alternate interior angles are pairs of angles that lie on opposite sides of the transversal and between the two parallel lines.
• For the angles to be alternate interior, they should:
  1. Be on different sides of the transversal.
  2. Be between the two parallel lines.

Looking at the diagram, the angles that satisfy these conditions are:

• $\angle EFI$ (located between the lines $\overline{EG}$ and $\overline{HJ}$, on the left side of the transversal).
• $\angle JIF$ (located between the lines $\overline{EG}$ and $\overline{HJ}$, on the right side of the transversal).

Thus, the correct pair of alternate interior angles is $\angle EFI$ and $\angle JIF$.

Would you like further explanation on alternate interior angles or related topics?

Here are 5 relative questions you can explore:

1. What are corresponding angles in a transversal?
2. How do we prove that alternate interior angles are congruent?
3. Can alternate exterior angles also exist in this diagram?
4. How can you calculate the measure of alternate interior angles when given an angle's degree?
5. What is the significance of transversal lines in geometry?

Tip: When working with parallel lines and a transversal, remember that alternate interior angles are always congruent, meaning they have the same measure.