SOLUTION: The measure of each interior angle of a regular polygon is eight times that of an exterior angle. How many sides does the polygon have?

Algebra ->  Polygons -> SOLUTION: The measure of each interior angle of a regular polygon is eight times that of an exterior angle. How many sides does the polygon have?       Log On


   

Question 714177: The measure of each interior angle of a regular polygon is eight times that of an exterior angle. How many sides does the polygon have?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The measure of each interior angle of a regular polygon is eight times that of an exterior angle. How many sides does the polygon have?
-------------------
8*ext + ext = 180
ext = 20 degs
n = 360/20
n = 18 sides