the formula who gives us the measure of the interior angles in a regular polygon is (n-2)*180, where n is the number of sides (12-2)*180=10*180=1800 degrees 1800/12=150 one interior angle is 150 in a dodecagon
Find the value of the exterior angle of a 12 sided side of polygon first. all of the exterior angles of a regular n gon add up to 360. So the general formula for one of the exterior angles is 360 / n for 1 exterior angle. In your case 1 exterior angle = 360 / 12 = 30o
I've made such a fuss about the exterior angle because 1 exterior angle + 1 interior angle = 180o In other words the two angles are supplementary. 30 + interior angle = 180 interior angle = 180 - 30 interior angle = 150 <<<< answer
