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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Central angle of a regular polygon is 360/n. n is the number of sides.
Each central angle is (360) divided by (number of sides in the polygon).
36
To calculate the measure of a central angle of a regular nine-sided polygon, divide 360 degrees by the number of sides. In this case, divide 360 by 9. The measure of the central angle of a regular nine-sided polygon is 40 degrees.
the center angle of any polygon is 360 degrees