What are Interior Angles of Polygons?

Angles inside the polygon formed by its two sides are known as the interior angles of a polygon. The interior angles are formed by two sides at a vertex of a polygon. The number of interior angles of a polygon is equal to the number of vertices in a polygon.

Interior Angle Definition

Angle formed by the two sides of a polygon inside it is called as the interior angle of polygons. In other words, the angles formed by two sides of a polygon at its vertex within it is referred to as the interior angles of a polygon.

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

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What is Angle?

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What are Interior Angles of Polygons?

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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:...

Interior Angles Theorem

Statement: For a polygon of ‘n’ sides, sum of the interior angles is always equal to (n – 2) × 180°....

Sum of Interior Angles of a Polygon

Sum of interior angles of various polygon is added in the table below:...

Interior Angles in Different Types of Polygons

The interior angles and the sum of interior angles in different types of polygons are discussed below....

Interior and Exterior Angles of a Polygon

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Exterior Angles

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Examples on Interior Angles

Example 1: What is the sum of interior angles of a polygon with 10 sides?...

FAQs on Interior Angles

Is sum of interior angles of triangle always 180°?...

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