The interior angle of a dodecagon is not 1260 that is of a nonagon
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The interior angle of a dodecagon can have any value in the range (0, 360). The only restriction is that the sum of all 12 interior angles (which need not be equal) is 1800 degrees.
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The interior angles of a dodecagon add up to 1800 degrees.
AnswerIt is Dodecagon.To find this, you have to first find the exterior angle of the polygon. Since the exterior angle of a polygon is always supplementary to the interior angle, you subtract the measure of the interior angle from 180. 180-150=30. Now You divide 360 by the measure of the exterior angle to get the number of sides of the polygon. 360/30=12. A 12-sided polygon is called a dodecagon
1800 degrees from 12 angels
The sum of the interior angles of an n-sided polygon is (n-2)x180. For a dodecagon n=12, so the sum of the interior angles is: (12-2)x180o = 10 x 180 degrees = 1800 degrees
180*(12-2) = 180*10 = 1800 degrees.