###### Asked in Uncategorized

Uncategorized

# What is the formula to find each interior angle of a regular polygon?

**We need you to answer this question!**

###### If you know the answer to this question, please register to join our limited beta program and start the conversation right now!

## Related Questions

###### Asked in Geometry

### What is the interior and exterior angle of a regular 9 sided polygon?

The measure of an interior angle in degrees of a regular
polygon of n sides is given by the formula: 180 x (n-2) /
n
Substituting with n=9, then the answer is that the interior
angle = 140
The measure of an exterior angle in degrees of a regular
polygon of n sides is given by the formula: 360/n
Substituting with n= 9, then the answer is that the exterior
angle = 40

###### Asked in Math and Arithmetic, Algebra, Geometry

### What is the interior and exterior angle a regular 10 sided polygon?

The measure of an interior angle in degrees of a regular
polygon of n sides is given by the formula: 180 x (n-2) /
n
Substituting with n=10, then the answer is that the interior
angle = 144
The measure of an exterior angle in degrees of a regular
polygon of n sides is given by the formula: 360/n
Substituting with n= 10, then the answer is that the exterior
angle = 36

###### Asked in Math and Arithmetic, Algebra, Geometry

### What is the interior and exterior angle of a regular 15 sided polygon?

The measure of an interior angle in degrees of a regular
polygon of n sides is given by the formula: 180 x (n-2) /
n
Substituting with n=15, then the answer is that
the interior angle = 12x13 =156
The measure of an exterior angle in degrees of a regular
polygon of n sides is given by the formula: 360/n
Substituting with n= 15, then the answer is that the exterior
angle = 24

###### Asked in Math and Arithmetic, Algebra, Geometry

### What are the interior and exterior angles of a regular 18 sided polygon?

The measure of an interior angle in degrees of a regular
polygon of n sides is given by the formula: 180 x (n-2) /
n
Substituting with n=18, then the answer is that the interior
angle = 160
The measure of an exterior angle in degrees of a regular
polygon of n sides is given by the formula: 360/n
Substituting with n= 18, then the answer is that the exterior
angle = 20

###### Asked in Math and Arithmetic, Algebra, Geometry

### What is the measure of an interior angle of a regular polygon of 12 sides?

There is a formula which can help.
The sum of the interior angles of a polygon is 2n - 4 right
angles.
When n = 12 then the interior angles total (2 x 12) - 4 = 24 - 4
= 20 right angles.
Then for a regular polygon, each angle measures (20 x 90) / 12 =
150°.
When the polygon is a regular polygon then it is perhaps
quicker to calculate the external angle from which the interior
angle can then be determined.
Exterior angle = 360 /12 = 30°
Interior angle = 180 - 30 = 150°

Load More