ashley_fay
  • ashley_fay
what is the sum of the measures of the interior angle of a regular polygon if each exterior angle measures 120 degrees?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
That's just an example. But for regular polygons, the interior + exterior angles = 180.
anonymous
  • anonymous
So if the exterior angles are 120 then the interior must be 60.

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anonymous
  • anonymous
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.
ashley_fay
  • ashley_fay
180 degrees?
anonymous
  • anonymous
Yeah. Cause only triangles have 60 degree interior angles.
anonymous
  • anonymous
And triangles have 180 degrees inside them.
ashley_fay
  • ashley_fay
thanks guys

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