Question

4. Find the measure of each interior angle of a regular polygon with 12 sides.

Answer 1

For any polygon the sum of the exterior angles is 360. Since The polygon is regular divide 360 by 12 to get the exterior angle measure. Interior and exterior angles are supplemental so subtract the exterior angle measure from 180.

Answer 2

For any regular polygon the formula for each interior angle is (180(n-2))/n where n is the number of sides.
Now we'll put 12 in there and it is:
(180(12-2))/12
180(10)/12
1800/12
150 degrees.

Hope this helps :)