Answer :
Answer:. **Alternate Interior Angles**:
Step-by-step explanation:Sure, let's start by drawing the diagram:
```
___________________ m
| | /
| | /
| |/
| |t
| |
| |
| |
|___________________|
```
In the diagram, \( m \) and \( t \) are parallel lines, and \( t \) is a transversal passing through them.
Now, let's mark the angles:
- Angle \( \angle 21 \) (Interior angle on the same side as \( \angle 22 \))
- Angle \( \angle 22 \) (Interior angle on the same side as \( \angle 21 \))
- Angle \( \angle 23 \) (Exterior angle on the same side as \( \angle 21 \))
- Angle \( \angle 28 \) (Exterior angle on the same side as \( \angle 22 \))
Now, let's write down all pairs of angles:
1. **Corresponding Angles**:
- \( \angle 21 \) and \( \angle 22 \)
(These are on the same side of the transversal \( t \) and on the same side of the parallel lines \( m \))
2. **Alternate Interior Angles**:
- \( \angle 21 \) and \( \angle 28 \)
(These are on opposite sides of the transversal \( t \) and between the parallel lines \( m \))
- \( \angle 22 \) and \( \angle 23 \)
(These are on opposite sides of the transversal \( t \) and between the parallel lines \( m \))
That's it! These are the pairs of angles formed when a transversal intersects parallel lines.
