SOLUTION: What is the ratio of the measure of an interior angle to the measure of an exteror angle in a regular hexagon? A regular decagon? A regular n-gon? I figured out that a hexagon i

Algebra ->  Polygons -> SOLUTION: What is the ratio of the measure of an interior angle to the measure of an exteror angle in a regular hexagon? A regular decagon? A regular n-gon? I figured out that a hexagon i      Log On


   



Question 562746: What is the ratio of the measure of an interior angle to the measure of an exteror angle in a regular hexagon? A regular decagon? A regular n-gon?
I figured out that a hexagon is 3:2 and a decagon is 4:1 but I need help with the n-gon with n as any real positive number

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
an exterior angle is ___ 360º / n

an interior angle is complementary to that ___ 180º - (360º / n)

[180º - (360º / n)] / (360º / n) ___ (n / 2) - 1


check your hexagon calculation...