Question 278109
<pre><font size = 4 color = "indigo"><b>
The sum S of the internal angles of any polygon with n sides is

{{{S=(n-2)*"180°"}}}

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

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

{{{((n-2)*"180°")/n}}}

That has smallest value when {{{n=3}}}

{{{((3-2)*"180°")/3}}}

{{{((1)*"180°")/3}}}

{{{"60°"}}}

That is the case of an equilateral triangle.

Edwin</pre>