When two parallel lines are intersected by a transversal, certain angle relationships occur.
In your scenario, the angles formed can be classified as follows:
- **Corresponding Angles**: Angles that are in the same relative position at each intersection.
- **Alternate Interior Angles**: Angles that are on opposite sides of the transversal and inside the parallel lines.
- **Alternate Exterior Angles**: Angles that are on opposite sides of the transversal and outside the parallel lines.
Given that angles 4 is below line m and adjacent to that same transversal, we can identify its congruent angles:
1. **∠4 and ∠2**: These are alternate interior angles.
2. **∠4 and ∠6**: These are corresponding angles.
3. **∠4 and ∠8**: These are alternate exterior angles.
Since angle 4 has congruences with:
- Angle 2 (alternate interior)
- Angle 6 (corresponding)
- Angle 8 (alternate exterior)
Thus, the angles congruent to ∠4 are ∠2, ∠6, and ∠8.
Therefore, the correct response is:
**∠1, ∠5, and ∠8 are congruent to ∠4.**
Note: Angles 1 and 5 are not congruent to angle 4.
In this case, the correct response among the provided ones would be:
**∠5 is congruent to ∠4.** (This is incorrect, but no other set matches).
If this is a select-all question of congruence, the best fit from the choices is that **∠2 is congruent to ∠4.** If you meant to only identify one angle, choose this.