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ashley_fay

  • 3 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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  1. alrightatmaths
    • 3 years ago
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    |dw:1361310805524:dw|

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

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

  4. alrightatmaths
    • 3 years ago
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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.

  5. ashley_fay
    • 3 years ago
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    180 degrees?

  6. alrightatmaths
    • 3 years ago
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    Yeah. Cause only triangles have 60 degree interior angles.

  7. alrightatmaths
    • 3 years ago
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    And triangles have 180 degrees inside them.

  8. ashley_fay
    • 3 years ago
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    thanks guys

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