A dodecagon is a polygon with twelve sides, similar to pentagons or octagons. Its exterior angles can add up to no more than 360°, and the measure of an exterior angle is 360˚ n. For a regular n-gon, the measure of an exterior angle is 360˚ n. Since a dodecagon has 12 sides, the exterior angles are 360˚ 12 = 30˚.
To find the number of degrees in a dodecagon, we use the formula 180-interior angle. The sum of the exterior angles of any polygon is 360°. To find the measure of a single exterior angle, divide the measure of the sum of the exterior angles with the total number of sides.
The exterior angle of a regular dodecagon is calculated by dividing 360° by the number of sides. Each exterior angle of a regular dodecagon is equal to 30°, and each interior angle is equal to 150°
There are 54 diagonals in a dodecagon, and the sum of the exterior angles of a twelve-sided polygon is 360°. The number of all possible diagonals in a dodecagon is 54. To calculate the exterior angles of a regular dodecagon, divide 360° by the dodecagon’s twelve exterior angles. Each exterior angle is 30°.
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