# What are the interior and exterior angle measures of a regular nonagon?

October 29, 2022

Since each of the nine interior angles in a regular nonagon is equal, each interior angle measures 1260° ÷ 9 = 140° as shown below. Each exterior angle of a regular nonagon has the same measure of 40°.

## How do you find the interior angle of a regular nonagon?

The measure of the exterior angle of a regular nonagon is 40 degrees.

## How many interior angles does a nonagon have?

All sides are equal (congruent) and all interior angles are equal (congruent). To find the measure of angles, we know that the sum of all angles is 1260 degrees (from above)… And there are nine angles… So the measure of the angle of a regular nonagon is 140 degrees.

## How do you find the measure of an exterior angle of a nonagon?

All sides are equal (congruent) and all interior angles are equal (congruent). To find the measure of angles, we know that the sum of all angles is 1260 degrees (from above)… And there are nine angles… So the measure of the angle of a regular nonagon is 140 degrees.

## What is the exterior angle of a regular decagon?

Decagon has ten sides and ten angles. All these sides and angles are equal to each other. Therefore, the measure of each exterior angle of a regular decagon is 36∘.

## What is the sum of the interior angles of a regular Heptagon?

Summary: The sum of the dimensions of the interior angles of a regular heptagon is 900 degrees.

## What is the exterior angle of a regular pentagon?

Exterior angle of a regular pentagon

The measure of each exterior angle of a pentagon = 360°/n = 360°/5 = 72°.

## Which polygon has an exterior angle of 90?

Summary: A regular polygon has 4 sides if each exterior angle is 90 degrees.

## How do you find exterior angles?

Summary: A regular polygon has 4 sides if each exterior angle is 90 degrees.

## How do you measure exterior and interior?

Summary: A regular polygon has 4 sides if each exterior angle is 90 degrees.

## What is the sum of the exterior angle of any polygon?

The sum of all exterior angles in a polygon equals 360 degrees.

## What polygon has 9 sides and 9 angles?

A nonagon contains 9 straight sides and 9 vertices connecting those sides. The sum of all interior angles of a nonagon equals 1260 degrees.

## What is the sum of eight of the interior angles of a regular nonagon?

A nonagon contains 9 straight sides and 9 vertices connecting those sides. The sum of all interior angles of a nonagon equals 1260 degrees.

## What is the measure of each exterior angle and interior angle?

The ratio between the exterior angle and the interior angle of a regular polygon is 1 : 4.

## What is the measure of exterior angle and interior angle?

Exterior Angle

The sum of an adjacent interior angle and exterior angle for each polygon is equal to 180 degrees because they form a linear pair.

## What is the exterior angle of a regular polygon?

When the side of a polygon is extended, the angle formed outside of the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.

## How do you find the interior angle of a regular decagon?

The sum of the measurements of the interior angles of a decagon (10-sided polygon) is 1,440. We found this using the formula (n-2)(180). So to find the measure of each interior angle, we simply divide the sum by the number of total sides in the polygon. 1,440/10 = 144.

### References:

1. https://www.math.net/nonagon
2. https://www.cuemath.com/questions/what-is-the-measure-of-an-exterior-angle-of-a-regular-nonagon/
4. https://www.coolmath.com/reference/polygons-09-nonagons
7. https://www.cuemath.com/questions/what-is-the-sum-of-the-measures-of-the-interior-angles-of-a-regular-heptagon/
8. https://byjus.com/maths/angles-in-a-pentagon/
9. https://www.cuemath.com/questions/how-many-sides-does-a-regular-polygon-have-if-one-exterior-angle-is-90-degrees/