document.write( "Question 565065: How Many Sides Are In The Polygon If The Measure Of The Interior Angle Is 156? \n" ); document.write( "
Algebra.Com's Answer #365621 by kingme18(98) You can put this solution on YOUR website! Assuming that this is a regular polygon... \n" ); document.write( "The easiest way to do this is to recall that the sum of the EXTERIOR angles is 360, and that an interior angle + its exterior angle = 180 (because they make a straight line). Thus, if the interior angles are each 156, the exterior angles are each 180-156=24. Now, if you take 360/24 (because each exterior angle is 24 and they need to add to 360), you get 15. Thus, there are 15 sides. \n" ); document.write( " |