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You can find the exterior angle (in degrees) using the following formula:
360 / number of sides
For example, a pentagon has 5 sides to the exterior angle is:
360 / 5 = 72 degrees
Really, the answer is just in degrees because we measured our circle in degrees. More generally, the formula would be:
measure of full circle / number of sides
This way, you can use radians (2 * PI / number of sides) or seconds (60 seconds / number of sides) or whatever
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If the sum of the interior angles of a polygon equals the sum of the exterior angles what is the name of the polygon?
A Regular Polygon
What is the Sum of the exterior angles of a seven sided polygon?
The sum of the exterior angles of any n-sided regular polygon, including a seven-sided polygon, is 360 degrees.
What is the sum of the measures of the exterior angles of a regular polygon with ten sides?
The sum of the measures of the exterior angles of any polygon, regular or irregular, is always 360 degrees. In a regular polygon with ten sides, each exterior angle measures 360 degrees divided by the number of sides, which in this case is 36 degrees. Therefore, the sum of the measures of the exterior angles of a regular decagon is 10 multiplied by 36 degrees, which equals 360 degrees.
Which regular polygon's interior angles is three times that of its exterior angles?
octagon interior=135 exterior=45
What type of regular polygon has equal interior and exterior angles?
A quadrilateral.
