Question 1194423
A regular <s>pologon</s> polygon has it exterior angle being 100 degrees less than the interior angle, find the number of sides of the <s>pologon</s>.
<pre>With each exterior angle being E, each interior angle is then 180 - E 
We then get: E = 180 - E - 100
E + E = 180 - 100
2E = 80
Each exterior angle, or {{{matrix(1,5, E, "=", 80/2, "=", 40^o)}}}
With sum of all exterior angles of ANY polygon being 360, and number of sides n, we get: 
{{{matrix(1,4, Sum, of, exterior, angles)/matrix(1,5, size, of, each, EXTERIOR, angle))))}}}, which translates to: {{{highlight_green(matrix(1,4, 360^o/40^o, "=", 9, "(NONAGON)"))}}}