The sum of interior angles = 180 (n-2)º The interior angles of a polygon always lie inside the polygon and the formula to calculate it can be obtained in three ways. Formula 1: For “n” is the number of sides of a polygon, formula is as, Interior angles of a Regular Polygon = [180° (n) – 360°] / n
We can find the sum of the interior angles of any polygon by applying the following formula: °. In this formula, n is equal to the number of sides of the polygon. In this case, we use for a hexagon. Using this value, we have °. This shows that the sum of the interior angles of a hexagon is equal to 720°.
In order to find the measure of a single interior angle of a regular polygon (a polygon with sides of equal length and angles of equal measure) with n sides, we calculate the sum interior angles or ( n − 2) ⋅ 180 and then divide that sum by the number of sides or n. The Formula The measure of any interior angle of a regular polygon with n sides is
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