The image asks to identify the pair of angles as alternate interior, alternate exterior, corresponding, or vertical. The angles specified are $\angle 4$ and $\angle 8$.

Based on the diagram:

• The two lines $l_1$ and $l_2$ are parallel.
• A transversal cuts through the two parallel lines, creating the labeled angles.

Angle Pair $\angle 4$ and $\angle 8$

• $\angle 4$ is inside the parallel lines, and $\angle 8$ is also inside but on the opposite side of the transversal.
• These angles are on opposite sides of the transversal and inside the parallel lines, which classifies them as alternate interior angles.

So, $\angle 4$ and $\angle 8$ are alternate interior angles.

Would you like a more detailed explanation of alternate interior angles, or do you have any other questions?

Relative questions:

1. What are corresponding angles, and how do they differ from alternate interior angles?
2. Can vertical angles also occur in this type of diagram? If so, which ones are vertical?
3. How do alternate exterior angles differ from alternate interior angles?
4. How can you identify corresponding angles in this figure?
5. What is the relationship between the measure of alternate interior angles when the lines are parallel?

Tip:

When two parallel lines are cut by a transversal, alternate interior angles are always congruent (equal in measure).