SOLUTION: How many sides does a regular polygon have if the measure of one interior angle is 150?

Algebra ->  Polygons -> SOLUTION: How many sides does a regular polygon have if the measure of one interior angle is 150?      Log On


   

Question 251135: How many sides does a regular polygon have if the measure of one interior angle is 150?
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
(180(n - 2)/n = 150
180n - 360 = 150n
180n - 150n = 360
30n = 360
n = 360/30
n = 12
The answer is 12 sides.