SOLUTION: what is the smallest angel that any regular polygon can have?

Algebra.Com
Question 278109: what is the smallest angel that any regular polygon can have?
Answer by Edwin McCravy(20086)   (Show Source): You can put this solution on YOUR website!

The sum S of the internal angles of any polygon with n sides is



A regular polygon has n equal (or congruent) interior angles, 
so each one has measure of 

Measure of each interior angles of an n-sides regular polygon =



That has smallest value when 







That is the case of an equilateral triangle.

Edwin
RELATED QUESTIONS

what is the smallest angle that any regular polygon can... (answered by Alan3354)
What is the largest exterior angle that any regular polygon can... (answered by stanbon)
Question: The measure of each interior angel of a regular polygon is eleven times that of (answered by stanbon)
Is it possible to have a regular polygon each of whose exterior angel is 50... (answered by Edwin McCravy,Theo)
The measures of the angles of a regular polygon are whole numbers. What is the greatest... (answered by Alan3354)
I am a regular polygon with all obtuse angles. i have the smallest number of sides of any (answered by Edwin McCravy)
AH! I need help! In the convex quadrilateral ABCD if ,angel a is congruent to angel d (answered by mangopeeler07)
essa claims that for a regular polygon of n sides, the smallest angle for a rotation... (answered by Boreal)
In a regular polygon central angel is 4 times smaller than the interior angle. How many... (answered by Alan3354)