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

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) (Show Source): You can put this solution on YOUR website!
an exterior angle is ___ 360� / n

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

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

check your hexagon calculation...
RELATED QUESTIONS
What is the measure of an interior angle of a regular octagon? A regular... (answered by solver91311)

The degree measure of interior angle of a regular hexagon is a. The degree measure of... (answered by stanbon)

A regular hexagon has an interior angle of measure (8x)^0. Find the value of... (answered by Fombitz,KMST)

i have had trouble working on this math problem and i was wondering if someone could help (answered by AnlytcPhil)

What is the measure of an interior angle in a regular polygon with 85... (answered by Alan3354)

What is the measure of an interior angle in a regular polygon with 15... (answered by MathLover1,MathTherapy)

Consider a regular polygon with the measure of an interior angle is 1.5 times the measure (answered by Alan3354)

find measure of an interior angle and an exterior angle of a regular... (answered by Alan3354)

What is the measure of an interior angle of a regular polygon with 16... (answered by palanisamy)