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