SOLUTION: What is the number of sides of a regular polygon if one angle measures 168 degrees

Algebra ->  Polygons -> SOLUTION: What is the number of sides of a regular polygon if one angle measures 168 degrees      Log On


   

Question 673207: What is the number of sides of a regular polygon if one angle measures 168 degrees
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the number of sides of a regular polygon
if one angle measures 168 degrees.
---
Assuming that is an interior angle, the corresponding exterior
angle must be 12 degrees.
----
Fact:: Sum of ALL the exterior angles = 360 degrees
---
# of ext. angles = 360/12/ = 30
-----
Therefore # of sides = 30
=============================
Cheers,
Stan H.
=============