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# How can you get the measure of an interior angle if you have the measure of the exterior angle of a regular polygon?

Updated: 10/24/2022

Wiki User

12y ago

It is: 180-exterior angle = interior angle because there are 180 degrees on a straight line

Wiki User

12y ago

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Q: How can you get the measure of an interior angle if you have the measure of the exterior angle of a regular polygon?
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180

30 degrees

999999

### What is the measure of each interior and exterior angle in this regular polygon?

That would depend on how many sides it has.

360

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

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

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

### What is the measure of an interior angle for a regular ten-sided polygon?

144o. Sum of exterior angles of a polygon is 360o. Each exterior angle for a regular decagon is 360o / 10 = 36o. Exterior and interior angles are supplementary, that is sum to 180o. Therefore the interior angle of a regular decagon is 180o - 36o = 144o.

### What is the measure of an interior and an exterior angle of a regular polygon with 5 sides?

Each exterior angle: 72 degrees Each interior angle: 108 degrees

### 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) / nSubstituting with n=15, then the answer is thatthe interior angle = 12x13 =156The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 15, then the answer is that the exterior angle = 24

30 degrees