Question

What is the relationship between angle 6 and angle 7?
Responses
Please show work
alternate exterior angles

vertical angles

alternate interior angles

corresponding angles

Answer 1

The relationship between angle 6 and angle 7 is that they are alternate exterior angles.

Alternate exterior angles are formed when a transversal intersects two parallel lines. In this case, angle 6 and angle 7 are formed when line k intersects parallel lines m and n.

To see why they are alternate exterior angles, we can draw a diagram:

```
m k n
---------------------------------------------
| | | |
| angle 6 | angle 7| |
| | | |
---------------------------------------------
```

As shown in the diagram, angle 6 and angle 7 are on the opposite sides of the transversal line k, and they are both outside the parallel lines m and n. This makes them alternate exterior angles.