# What is the sum of the angles of an octagon?

By BYJU'S Exam Prep

Updated on: September 25th, 2023

The octagon is an eight-sided two-dimensional geometrical figure.

It consists of 8 interior angles and 8 exterior angles.

The sum of the interior angles is 1080°, and the sum of its exterior angles is 360°.

20 diagonals are present in an octagon.

It is classified into various types based on their sides and angles.

When all the sides and angles are equal, it is known as a regular octagon.

Convex octagons bulge outwards and have all the angles pointed outwards. A regular octagon is an example of a convex octagon.

For an n-sided polygon

Sum of interior angles of a polygon = (n – 2) x 180°

An octagon is an 8-sided polygon.

Sum of interior angles of a polygon = (8 – 2) x 180° = 1080°

Therefore, the sum of the angles of an octagon is 1080°

Summary:

## What is the sum of the angles of an octagon?

The sum of the angles of an octagon is 1080°.

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