Interior Angle (of a Polygon)
Definition

An interior angle of a polygon is an angle inside a polygon at a vertex of the polygon.

Interior angle of a polygon example

Interior Angles of a Regular Polygon

Interior angles of a regular polygon are equal in measure. The magnitude of an angle can be determined by the number of sides of the polygon.


When the measure of one interior angle of a regular polygon is determined, it can be multiplied by the number of sides of the polygon to find the sum of the interior angles of the polygon.


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The following are "formulas" to determine the measure of an interior angle of any n-sided regular polygon and to determine the sum of the measures of all interior angles of a regular polygon.

Formulas for the measures of the interior angle and sum of interior angles of a regular polygon