by Anonymous on July 25th, 2008

Anonymous

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What is the sum of the measures of the interior angles of a polygon having 8 sides?

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Answers. 3 helpful answers below.

  • You can use the standard formula for this, which is (n-1)*180, with n being the number of sides.

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  • by caffey4 on July 25th, 2008

    caffey4

    Well the sum of the exterior angles of any perfect polygon has to be 360 degrees. Therefore the exterior angles of an 8 sided polygon are 45 degrees (360/8). The interior angles are each 135 degrees (180-45) as the exterior and interior angles are complementary angles. Take 135 degrees for each interior angle, multiply by 8, and you get 1080 degrees.

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  • by Doggie S on July 25th, 2008

    Doggie S

    The sum of the angles of a polygon with n sides, where n is 3 or more, is 180° × (n - 2) degrees.

    http://www.mathleague.com/help/geometry/polygons.htm

    That would be 1,080°

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