SOLUTION: each interior angle of the regular n-gon has a measure of 156. what is n

Algebra ->  Polygons -> SOLUTION: each interior angle of the regular n-gon has a measure of 156. what is n       Log On


   

Question 573507: each interior angle of the regular n-gon has a measure of 156. what is n
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
each interior angle of the regular n-gon has a measure of 156. what is n
---
Each of the exterior angles must be 180-156 = 24 degrees
----
Fact: Sum of the exterior angles is ALWAYS 360
---
# of exterior angles = 360/24 = 15
----
Therefore, # of sides = 15
====================
Cheers,
Stan H.