Sum of Exterior Angles of a Polygon: Exploration #1
Explore below to find out what the sum of the exterior angles of a polygon is.
The exterior angles of a triangle, quadrilateral, and pentagon are shown, respectively, in the applets below, but the conclusion you come up with can be extended to apply to polygons with any number of sides.
How to use the applet:
Control the size of a colored exterior angle by using the slider of matching color.
Move the vertices of these polygons anywhere you'd like.
For the quadrilateral & pentagon, the last two applets work best if these polygons are kept convex.