Exterior Angles of Polygons

For each polygon below, find the sum of the exterior angles. Move the vertices, keeping each polygon convex, and find the new sum of the exterior angles for each polygon. Did the values change? Does the number of sides of a polygon effect the sum of the exterior angles of a polygon? Does the size or shape of the polygon effect the sum of the exterior angles? Check your hypothesis with two classmates. Is your hypothesis correct? Consider this: If the polygon was regular (look up what this means if you cannot remember), how would you determine the value of one exterior angle? Write a formula and check it with two classmates. Test your hypothesis.



Resource Type
angle  exterior-angle  geometry  polygons 
Target Group (Age)
15 – 18
English (United States)
GeoGebra version
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