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what is the sum of the measures of the interior angle of a regular polygon if each exterior angle measures 120 degrees?
 one year ago
 one year ago
what is the sum of the measures of the interior angle of a regular polygon if each exterior angle measures 120 degrees?
 one year ago
 one year ago

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alrightatmathsBest ResponseYou've already chosen the best response.1
dw:1361310805524:dw
 one year ago

alrightatmathsBest ResponseYou've already chosen the best response.1
That's just an example. But for regular polygons, the interior + exterior angles = 180.
 one year ago

alrightatmathsBest ResponseYou've already chosen the best response.1
So if the exterior angles are 120 then the interior must be 60.
 one year ago

alrightatmathsBest ResponseYou've already chosen the best response.1
And 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.
 one year ago

alrightatmathsBest ResponseYou've already chosen the best response.1
Yeah. Cause only triangles have 60 degree interior angles.
 one year ago

alrightatmathsBest ResponseYou've already chosen the best response.1
And triangles have 180 degrees inside them.
 one year ago
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