The sum of the interior angles of a dodecagon is:
sum = (12 - 2) x 180o
= 1800o
In a regular dodecagon, each of the interior angles is 1800o ÷ 12 = 150o
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Each interior angle of a regular 12 sided dodecagon measures 150 degrees
Each interior angle measures 150 degrees Each exterior angle measures 30 degrees
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.
Each exterior angle measures 20 degrees Each interior angle measures 160 degrees
Each interior angle measures 108 degrees