About Sum of Angles Formula
The sum of interior angles of a polygon is calculated using the sum of angles formula. The number of vertices in a polygon determines the sum of angles. When there are four or more sides to a polygon, we draw all potential diagonals from one vertex. The polygon is then divided into a number of non-overlapping triangles. Let's look at the sum of angles formula and look at some examples at the conclusion.
What Is the Sum of Angles Formula?
Interior angles are calculated by multiplying the number of triangles by 180°, with the total number of triangles always being two less than the number of sides of a polygon. The formula for a polygon's sum of angles is as follows:
- The sum of interior angles of a given polygon Equals (n -2)x 180°, where n is the polygon's number of sides.
- The sum of a polygon's outside angles equals 360.°
Sum = (n -2) x 180°
The number of triangles that a polygon can be divided into is (n-2) and the number of degrees in a triangle is 180°.
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