Each interior angle of a regular 12 sided dodecagon measures 150 degrees
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The sum of the interior angles of a dodecagon is:sum = (12 - 2) x 180o= 1800oIn a regular dodecagon, each of the interior angles is 1800o ÷ 12 = 150o
Each interior angle measures 150 degrees Each exterior angle measures 30 degrees
The measure of each interior angle of a dodecagon, which is a 12 sided regular polygon, is 150o. This is found in any polygon by multiplying 2 less than the number of sides by 180o and then dividing the product by the number of sides. A dodecagon interior angle is then 10 x 180o/12 = 150o.
If the interior angle is 150° then the exterior angle measures 180 -150 = 30°. The sum of the exterior angles of a regular or convex polygon = 360° The number of sides is therefore 360/30 = 12 sides The shape is a dodecagon.
The total interior angle of a 12 sided polygon is = (12 - 2) 180 degrees = 1800 degrees. The internal angle at each vertex of an regular dodecagon is equal to = = 150 degrees. While the exterior angle at a single vertex is = = 30 degrees. The total exterior angle of a 12 sided polygon is 360 degrees.