Question 1152296

If the measure of each interior angle of a regular polygon is 176, find the number of sides in the polygon. 
<pre>Being a REGULAR polygon, ALL &#8736s are congruent.
As EACH interior &#8736 = 176<sup>o</sup>, each EXTERIOR &#8736 = 180 - 176 = 4<sup>o</sup>
The sum of the EXTERIOR angles of ANY polygon is 360<sup>o</sup>, and so, number of sides of THIS polygon = {{{highlight_green(matrix(1,3, 360/4, "=", 90))}}}
That's it!! Nothing too complex!