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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.
Table of content
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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