Sum of central angles must be 360 deg whatever the number of sides so in this case, assuming polygon is regular, ie sides are equal, the answer is 360/12 = 30 degrees.
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36 degrees
the center angle of any polygon is 360 degrees
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.
360 degrees
Each interior angle of a regular 10 sided decagon measures 144 degrees