Question

*Find the measure of an interior angle of a regular polygon with 15 sides. Round to the nearest tenth if necessary.*

I know the answer is 156, but i'm not sure how they get that answer?
Could somebody explain?

Answer 1

Explanation:

Finding a regular polygon with x amount of sides, you use the equation
`(x-2)` to find the amount of triangles. Replace x with 15 and you will get 13. Each triangle has angles that add to
`180^(o)`, so you would do 180 * 13 to find the total of all of the interior angles, = 2340. Then, divide 2340 by 15, and you will get 156!