Well honey, a 27-sided polygon has 27 interior angles. To find the sum of those angles, you use the formula (n-2) * 180, where n is the number of sides. So, for a 27-sided polygon, you'd have (27-2) * 180 = 4,860 degrees. Math doesn't lie, darling.
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The sum of the exterior angles of any polygon, including a 27 sided one, is 360 degrees.
To find the interior angle of a polygon, you can use the formula: interior angle = (n-2) * 180 / n, where n is the number of sides of the polygon. In this case, for a 27-sided shape, the interior angle would be (27-2) * 180 / 27 = 150 degrees.
The measure of a single internal angle of any regular polygon is equal to 180 (n - 2) / n. Therefore, an internal angle of a regular icosikaiheptagon (27-sided polygon) is equal to 13.3 recurring, or 13 and one third, degrees. It thereby follows that a measure of the external angle of the same polygon is equal to 180 - 13 and one third = 166.6 recurring, or 166 and two thirds, degrees.
The sum of the interior angles of a polygon with n sides is (n-2)*180 degrees. Here, n = 27, so the sum of the interior angles is (27-2)*180 = 25*180 = 4500 degrees.
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