Sum of Interior Angles Formula
The sum of all interior angles of a polygon formula gives us the sum of all the interior angles of the given polygon. The sum of all interior angles of a polygon is given by:
Sum of Interior Angles of a Polygon = (n – 2)×180°
where,
- n is number of sides in polygon
Interior Angle Formulas
There are in general there formulas that are used to find interior angles of any polygon that are:
Formula 1:
Formula for interior angle of regular polygon is, here, n is number of sides of regular polygon.
Interior Angles of a Regular Polygon = [180°(n) – 360°] / n
Formula 2:
Formula to find the interior angle of a polygon if exterior angle is given is:
Interior Angle of a Polygon = 180° – Exterior Angle of a Polygon
Formula 3:
If sum of all the interior angles of a regular polygon is given then its interior angle is calculated as:
Interior Angle = Sum of Interior Angles of a Polygon / n
Interior Angles of a Polygon
Interior angles of a polygon are angles within a polygon made by two sides. The interior angles in a regular polygon are always equal. The sum of the interior angles of a polygon can be calculated by subtracting 2 from the number of sides of the polygon and multiplying by 180°. Sum of Interior Angles = (n − 2) × 180°
In this article, we will learn about the interior angles of a polygon, the sum of interior angles of a polygon, the formula for the interior angles, and others in detail.
Table of Content
- What is Angle?
- What are Interior Angles of Polygons?
- Sum of Interior Angles Formula
- Interior Angles Theorem
- Sum of Interior Angles of a Polygon
- Interior Angles in Different Types of Polygons
- Interior and Exterior Angles of a Polygon
- Exterior Angles