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ashley_fay
 2 years ago
what is the sum of the measures of the interior angle of a regular polygon if each exterior angle measures 120 degrees?
ashley_fay
 2 years ago
what is the sum of the measures of the interior angle of a regular polygon if each exterior angle measures 120 degrees?

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alrightatmaths
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1361310805524:dw

alrightatmaths
 2 years ago
Best ResponseYou've already chosen the best response.1That's just an example. But for regular polygons, the interior + exterior angles = 180.

alrightatmaths
 2 years ago
Best ResponseYou've already chosen the best response.1So if the exterior angles are 120 then the interior must be 60.

alrightatmaths
 2 years ago
Best ResponseYou've already chosen the best response.1And like hero said, 360 divided by the exterior angle measurement gives you the number of sides or angles. So 360/120 = 3 so the sum of the interior angles must be 60x3.

alrightatmaths
 2 years ago
Best ResponseYou've already chosen the best response.1Yeah. Cause only triangles have 60 degree interior angles.

alrightatmaths
 2 years ago
Best ResponseYou've already chosen the best response.1And triangles have 180 degrees inside them.
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