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n is the number of sides

((n-2)*180)/n =the degrees of an interior angle

((12-2)*180)/12

(10*180)/12=1800/12

150

The central angle is a triangle so 180 degrees minus the measure of an interior angle is the measure of an interior angle.

180-150=30 degrees.

That is the formula in steps, here is the full one.

180-((n-2)*180)/n

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Q: What is the calculation of a central angle of a regular twelve-sided polygon?
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