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For any given polygon, the exterior angles will sum to 360 degrees. Thus, for a regular polygon, dividing by the number of exterior angles (the same as the number of sides) will produce the exterior angle. For a dodecagon (12 sides), 360/12=30 degrees.
You can also find the interior angle easily because the interior and exterior angles are supplementary: 180-30=150 degrees for an interior angle.
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What is the measure of one exterior angle of a regular dodecagon?
360/12 = 30 degrees
What is the measure of an angle of a regular dodecagon?
Interior Angle: 150 degrees (Interior Angle Sum: 1800) Exterior Angle: 30 degrees (Exterior Angle Sum: 360)
How many degrees are there in each exterior angle of a regular dodecagon?
360/12 = 30 degrees
What is the measurement of the exterior angle of a regular dodecagon?
Sum of exterior angles of an n-gon is 360 degrees. A dodecagon has 12 exterior angles which are all equal and so each is 360/12 = 30 degrees.
What is the measure of each interior angle and exterior of regular dodecagon?
Each exterior angle = 360/12 = 30 degrees. Each interior angle = 180 - 30 =150 degrees.
