Exterior Angle Sum of Polygons Exploration
The exterior angles of a triangle, quadrilateral, and pentagon are shown, respectively, in the applets below.
You can control the size of a colored exterior angle by using the slider with matching color.
Feel free to move the vertices of these polygons anywhere you'd like.
Note:
For the quadrilateral & pentagon, the last two applets work best if these polygons are kept convex.
Exterior Angles of a Triangle
Exterior Angles of a Quadrilateral
Exterior Angles of a Pentagon
What do you notice?
What is common about the measures of the exterior angles of any one of these polygons?
Do you think what you've observed for the triangle, quadrilateral, and pentagon above will also hold true for a hexagon, heptagon, and octagon?