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

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

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

S=%28n-2%29%2A%22180%B0%22

A regular polygon has n equal (or congruent) interior angles, 
so each one has measure of S%2Fn

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

%28%28n-2%29%2A%22180%B0%22%29%2Fn

That has smallest value when n=3

%28%283-2%29%2A%22180%B0%22%29%2F3

%28%281%29%2A%22180%B0%22%29%2F3

%2260%B0%22

That is the case of an equilateral triangle.

Edwin