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# How many degrees are in the sum of an angle and an exterior angle of a regular polygon?

Updated: 12/14/2022

JoseBaltazargp3439

Lvl 1
9y ago

360

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Sum of Interior Angles of a Polygon = 180 (n-2)

Sum of Exterior Angles of a Polygon = 360

The sum of an angle and an exterior angle of a regular polygon is 360

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Q: How many degrees are in the sum of an angle and an exterior angle of a regular polygon?
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### What is the interior and exterior angle of a regular polygon?

Each exterior angle of a regular polygon with n sides is 360/n degrees. Each interior angle of a regular polygon is 180 - Exterior angle. A direct formula for the interior angle is 180*(n-2)/n degrees.

### What polygon has the exterior angle measurement of 9?

If each exterior angle is 9 degrees then it is a regular 40 sided polygon.

### What is the exterior angle of a regular polygon with 24 sides?

Each exterior angle is 15 degrees

### What is the exterior angle of a 30 sided polygon?

Providing that it's a regular polygon then each exterior angle will measure 12 degrees.

### What is the measure of an exterior angle of a 10 sided polygon?

If it's a regular polygon then each exterior angle measures 36 degrees

### What is an exterior angle of a regular 10 sided polygon?

Each exterior angle measures 36 degrees

### What degree is a regular exterior angle of a 5-sided polygon?

Each exterior angle is 72 degrees

### What is the exterior angle of a regular 24 sided polygon?

Each exterior angle measures 15 degrees

### If the exterior angle of a regular polygon equals 72 degrees what is the shape of the polygon?

The sum of all exterior angles of a polygon is 360 degrees. In a regular polygon, all of the exterior angle are equal, so there must be 360/72=5 sides of the polygon, which makes it a pentagon.

### What is the measures of an interior angle and an exterior angle of a regular polygon with 6 sides?

Interior angle = 120 degrees Exterior angle = 60 degrees

### What is the exterior of a regular polygon with 24 sides?

Each exterior angle is 15 degrees