Question 1001860

What is the number of sides in the polygon?  The measure of an exterior angle of a regular polygon is 2x, and the measure of an interior angle is 4x.  
<pre>With an exterior angle being 2x, an interior angle being 4x, and since an exterior and interior angle are supplementary (sum to 180<sup>o</sup>), we get: 
2x + 4x = 180
6x = 180
x = {{{180/6}}}, or 30
One exterior angle = 2x, or 2(30), or {{{60^o}}}
Number of sides: {{{360/60}}}, or {{{highlight_green(6)}}} (hexagon)