![]() ![]() Here, S = sum of interior angles and n = number of sides of the polygon.Īpplying this formula on a triangle, we get: Multiplying two less than the number of sides times 180° gives us the sum of the interior angles in any polygon. As per the angle sum theorem, the sum of all the three interior angles of a triangle is 180°. From the simplest polygon, let us say a triangle, to an infinitely complex polygon with n sides such as octagon, all the sides of polygon create a vertex, and that vertex has an interior and exterior angle. ![]()
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