The sum of the exterior angles of a polygon for number of sides n is equal to 180 x (n - 2). For example, the sum of the exterior angles of a pentagon is equal to 180 x (5 - 2) = 540.
To find a single exterior angle, divide this total by the number of sides - in this example, 540 / 5 = 108 degrees. Therefore, the exterior angle of a regular pentagon is equal to 108 degrees.
Similarly, the exterior angle of a regular octagon is equal to 180 x (8 - 2) = 1080 / 8 = 135 degrees.
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A quadrilateral.
The exterior angles of any polygon add up to 360.
If the 12-sided polygon is 'regular', then each of its exterior angles is 30 degrees. Whether the polygon is regular or not, all 12 of its exterior angles still add up to 360 degrees, but they may not all be equal.
The exterior angles of a polygon always add up to 360 degrees
The exterior angles of any polygon add up to 360 degrees