Exterior angle of polygons The measure of each exterior angle =**360°/n**, where n = number of sides of a polygon. One important property about a regular polygon’s exterior angles is that the sum of the measures of the exterior angles of a polygon is always 360°.

Contents

- 1 What is the measure of exterior angle of a polygon?
- 2 What is measure of each exterior angles?
- 3 What is each exterior angle of a pentagon?
- 4 What is the measure of each exterior angle of a regular polygon of 9 sides *?
- 5 What is the exterior angle of a 40 sided polygon?
- 6 What is the exterior angle of a 18 sided polygon?
- 7 How many sides does a polygon have with an exterior angle of 36?
- 8 How do you find the exterior angle of a polygon with 12 sides?
- 9 Why are the exterior angles of a polygon 360?

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

The sum of the exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle in a regular polygon is: 360. If you know the exterior angle you can find the interior angle using the formula: interior angle + exterior angle = 180°

## What is measure of each exterior angles?

Irrespective of the number of sides of a regular polygon, the measure of each exterior angle is equal and the sum of the measure of all the exterior angles of the regular polygon is equal to 360°.

## What is each exterior angle of a pentagon?

Answer: The measure of each exterior angle of a regular pentagon is 72° A regular pentagon has all angles of the same measure and all sides of the same length.

## What is the measure of each exterior angle of a regular polygon of 9 sides *?

Answer: One exterior angle of a regular 9-sided polygon is 40°.

## What is the exterior angle of a 40 sided polygon?

Exterior angles (in a regular polygon) add to 360°. So you would do 360/40 to get an answer of 9.

## What is the exterior angle of a 18 sided polygon?

He goes on further to explain the formula by taking an 18-sided regular polygon as example and computes its exterior angle as 360/18, which is 20 degrees.

## How many sides does a polygon have with an exterior angle of 36?

The sum of the exterior angles of any regular polygon is 360 degrees. The exterior angles of a regular polygon are also equal. Allow s to represent the number of sides of the polygon. Answer: The polygon has 10 sides.

## How do you find the exterior angle of a polygon with 12 sides?

For a regular n -gon, the measure of an exterior angle is 360˚n. Since a dodecagon has 12 sides, an exterior angles is 360˚12=30˚.

## Why are the exterior angles of a polygon 360?

Because of the congruence of vertical angles, it doesn’t matter which side is extended; the exterior angle will be the same. The sum of the exterior angles of any polygon (remember only convex polygons are being discussed here) is 360 degrees.