SOLUTION: is a 36-gon,14-gon, an 18-gon all regular polygons?

Algebra.Com
Question 439014: is a 36-gon,14-gon, an 18-gon all regular polygons?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
is a 36-gon,14-gon, an 18-gon all regular polygons?
---
Consider:
The sum of the exterior angles of a regular polygon
is always 360 degrees.
If a regular polygon has n sides, each exterior angle
will be 360/n.
---
360/36 will have 10 degree exterior angles
360/18 will have 20 degree exterior angles
But 360/14 would have to have exterior angles of 25.714286... degrees.
------------------
I'll leave the discussion of that to you.
Cheers,
Stan H.
=============

RELATED QUESTIONS

Find the measrue of an angle in each polygon if the polygon is regular. Round to the... (answered by Alan3354)
What are the measures of the interior and exterior angles of a regular 20-gon, 30-gon,... (answered by Alan3354)
what is the angle measurement of a regular 13-gon and a regular... (answered by JimboP1977)
Find The Indicated Measures of an Interior Angle and an Exterior Angle of the Indicated... (answered by Alan3354)
The following polygons are given. All of the polygons are regular polygons. Polygon... (answered by Edwin McCravy,solver91311)
What is the measure of one exterior angle if the 14-gon is a regular... (answered by oberobic,stanbon)
Pls Help! : Each interior angle of a regular n-gon is 156. Calculate the value of n. (... (answered by stanbon)
What is the measure of an interior angle of a regular... (answered by stanbon)
What is the measure of an exterior angle of a regular 32-gon polygon? (answered by Alan3354)