SOLUTION: how many sides does a regular polygon have if the measure of each interior angle is 150 degrees?

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


   

Question 713318: how many sides does a regular polygon have if the measure of each interior angle is 150 degrees?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how many sides does a regular polygon have if the measure of each interior angle is 150 degrees?
-------
The corresponding exterior angles are each 30 degrees.
----
The sum of all of the exterior angles is 360 degrees
----
The # of exterior angles is 360/30 = 12
---
So the # of sides is 12
==============================
Cheers,
Stan H.
=======================