Question

What is the sum of the measures of the interior angles of a regular polygon where a single exterior angle measures 30°?

Answer 1

solve for n
(n-2)*180 = 180 - 30

Answer 2

All regular polygons exterior angles add up to 30 degrees. 360/30 = 12 sides. Use formula (n-2) × 180 to find sum of interior angles. (12-2)x180 = 1800 total interior degrees or 150 degrees each angle.

Answer 3

divide 360 by 30 gives number of sides of polygon
= 12 sides
each interior angle = 180-30 = 150
total of int. angles = 12* 150

Answer 4

sorry: (n-2)*180/n=150

Answer 5

http://www.wolframalpha.com/input/?i=+%28n-2%29*180%2Fn%3D150

Answer 6

no ... that's the measure of each individual internal ange

Answer 7

no the sum of interior angles = 12 * 150 as there are 12 angles in the polygon and each int. angle = 150 degrees
12*150 = 1800 degres

Answer 8

so it would be 1800

Answer 9

yes