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What is the sum of the measures of the exterior angles of a convex hexagon?
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For any convex polygon, the sum of the measures of the extrior angles, taken one per vertex, is equal to 360.
Here's an irregular octagon. |dw:1373583135461:dw|
here are all the exterior angles, taken one per vertex. |dw:1373583191970:dw|
As you can see, the exterior angles, taken one per vertex, add up to 360 degrees. |dw:1373583316424:dw|
This is true for any convex polygon, of any number of sides, and whether it is regular or not.
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