Exterior Angles
Angles outside the vertices of the polygon are called exterior angles. These angles are formed by one side of the polygon and extension of the other side. The sum of exterior angles of a polygon is always equal to 360 degrees. Measure of each exterior angle of a polygon is calculated as:
Exterior Angle of a Polygon = 360 ÷ Number of Sides
The sum of the exterior angle and the relative interior angle is always supplementary, i.e.
Exterior Angle + Interior Angle = 180°
Note
- If the measure of exterior angle of a polygon is given then, to find the measure of interior angle of the polygon we use the formula.
Interior angle of Polygon = 180° – Exterior angle of polygon
- Also, we can find the sum of interior angles of a polygon by finding the number of triangles formed in polygon. The formula for the sum of interior angles of a polygon when the number of triangles formed in polygon is given.
Sum of interior angles of polygon = Number of triangles formed in polygon × 180°
- If in irregular polygon there are m interior angles and measure of m-1 interior angles is given and we have to find the measure of 1 interior angle that is not known, we use the formula for the sum of interior angles in irregular polygon.
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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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