Question 1151125

What is the measure of an interior angle in a regular polygon with 15 sides?
<pre><b><u>It's as SIMPLE as this:</b></u>
The sum of the exterior angles of ANY polygon is 360<sup>o</sup>. With this being a REGULAR 15-sided polygon, each EXTERIOR angle = {{{matrix(1,3, 360/15, "=", 24^o)}}}
Therefore, EACH interior angle = {{{highlight_green(matrix(1,3, 180^o - 24^o, "=", 156^o))}}}
That's it! Nothing COMPLICATED and/or time-consuming!