# How do you find the interior angles of a octagon?

## How do you find the interior angles of a octagon?

Regular Octagons Since an octagon has eight sides, subtract two from eight to get six. Multiply six by 180 to find the total number of degrees in an octagon equals 1,080. Divide 1,080 by eight to find the measure of each interior angle if the octagon is regular. In a regular octagon, each angle measures 135 degrees.

What are the angles of an octagon?

Octagon angles There are 8 interior angles and 8 exterior angles in an octagon. Octagon interior angles sum is equal to 1080 degrees. Also, the sum of all eight exterior angles is equal to 360 degrees. Based on the type of angles, octagons are classified as convex and concave octagons.

Does an octagon have 360 degrees?

On a regular octagon the exterior angles are always equal to 45 degree. The sum of all exterior angles on an octagon is 360 degrees.

### How much do the angles in an octagon add up to?

That means that if you add up all the angles in those six triangles, you’ll get the total internal angle sum of the octagon. In this case, 6 x 180 = 1080; an octagon’s internal angles add up to 1080 degrees.

What is the interior of octagon?

The General Rule

Shape Sides Sum of Interior Angles
Octagon 8 1080°
Nonagon 9 1260°
..
Any Polygon n (n−2) × 180°

What are the measurements of a octagon?

A regular octagon is a geometric shape with 8 equal lengths and 8 equal angles. The sum of the interior angles of a regular octagon is 1080 degrees, which makes each angle equal to 135 degrees in measure.

## What is the interior angle of a 8 sided shape?

Interior angles of Regular Polygons

Regular Polygon Name Each interior angle
Hexagon 120°
Septagon 128.57°
Octagon 135°
Nonagon 140°

What degree angle is an octagon cut?

22.5 degrees
Set your miter saw at 22.5 degrees. This is the angle you need to cut at to make an octagon shape.

How many vertices does a octagon have?

8Octagon / Number of vertices