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ashley_fay

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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  1. alrightatmaths
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    |dw:1361310805524:dw|

    • one year ago
  2. alrightatmaths
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    That's just an example. But for regular polygons, the interior + exterior angles = 180.

    • one year ago
  3. alrightatmaths
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    So if the exterior angles are 120 then the interior must be 60.

    • one year ago
  4. alrightatmaths
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    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
  5. ashley_fay
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    180 degrees?

    • one year ago
  6. alrightatmaths
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    Yeah. Cause only triangles have 60 degree interior angles.

    • one year ago
  7. alrightatmaths
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    And triangles have 180 degrees inside them.

    • one year ago
  8. ashley_fay
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    thanks guys

    • one year ago
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