360/exterior angle = number of sides
180-interior angle = exterior angle 360/exterior angle = number of sides
360/number of sides = each exterior angle
Providing that it's a regular polygon: 360/number of sides = each exterior angle
The largest exterior angle measure is 120o. It is the exterior measure of an equilateral triangle (which is a regular polygon).
The exterior angles of any polygon add up to 360 degrees
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A regular 10 polygon
Finding the exterior angle of a regular polygon is really simple, divide 360 by the number of sides. So: 360/40=9 degrees.
The sum of the exterior angles of a polygon = 360360 / 36 = 10 degrees
Providing that it's a regular polygon then each exterior angle will measure 12 degrees.
To determine the number of sides in a polygon, you can use the formula for finding the measure of an exterior angle: 360 degrees divided by the number of sides. In this case, if the exterior angle is 22.5 degrees, you would divide 360 by 22.5 to get 16. Therefore, the polygon has 16 sides.
The measure of the exterior angle of a 11-sided polygon = 360⁰/11 = 32 72/99⁰ = 32 8/11⁰