document.write( "Question 326840: If the measure of one exterior angle of a regular polygon is 30 degrees how many sides does the polygon have? \n" ); document.write( "
Algebra.Com's Answer #234082 by jessica43(140)![]() ![]() ![]() You can put this solution on YOUR website! To find the measure of each exterior angle of a regular polygon, you just divide 360 degrees by the number of sides. This can be written as: \n" ); document.write( "A = 360/s (where A = measure of exterior angle, s = number of sides) \n" ); document.write( "Since we know that the measure of the angle is 30 degrees, we can plug this in for A and solve for s: \n" ); document.write( "A = 360/s \n" ); document.write( "30 = 360/s \n" ); document.write( "30s = 360 \n" ); document.write( "s = 12 \n" ); document.write( "So the polygon has 12 sides. \n" ); document.write( " |