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Mathematics 8 Online
OpenStudy (anonymous):

What is the sum of the measures of the exterior angles of a convex hexagon?

OpenStudy (mathstudent55):

For any convex polygon, the sum of the measures of the extrior angles, taken one per vertex, is equal to 360.

OpenStudy (mathstudent55):

Here's an irregular octagon. |dw:1373583135461:dw|

OpenStudy (mathstudent55):

here are all the exterior angles, taken one per vertex. |dw:1373583191970:dw|

OpenStudy (mathstudent55):

As you can see, the exterior angles, taken one per vertex, add up to 360 degrees. |dw:1373583316424:dw|

OpenStudy (mathstudent55):

This is true for any convex polygon, of any number of sides, and whether it is regular or not.

OpenStudy (anonymous):

Thank you very much, I understand now.

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