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23 May, 22:11

Find the sum of the measures of the interior angles of a convex 30-gon.

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  1. 23 May, 23:26
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    The sum of the interior angles of a polygon with N sides is (N-2) x 180 degrees.

    For a 30-gon, the sum of interior angles is (28) x (180) = 5,040 degrees.

    It makes no difference whether or not the polygon is convex at every vertex.
  2. 24 May, 01:27
    0
    There's an equation for that:

    Sum of interior angles = 180 (n - 2)

    where n = number of sides

    So if you have a polygon with 30 sides, the sum of the interior angles is:

    180 (30 - 2) = 180 (28) = 5040 deg
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