document.write( "Question 336962: the measure of each interior angle of a regular polygon is 14 times the measure of an exterior angle. how many sides does the polygon have? \n" ); document.write( "
Algebra.Com's Answer #241502 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! the measure of each interior angle of a regular polygon is 14 times the measure of an exterior angle. how many sides does the polygon have? \n" ); document.write( "----- \n" ); document.write( "The interior and its corresponding exterior angle are supplementary. \n" ); document.write( "x + 14x = 180 \n" ); document.write( "15x = 180 \n" ); document.write( "x = 12 degrees (the exterior angle) \n" ); document.write( "----- \n" ); document.write( "Fact: The sum of the exterior angles is 360 degrees \n" ); document.write( "--- \n" ); document.write( "# of exterior angles = 360/12 = 30 \n" ); document.write( "--- \n" ); document.write( "# of sides = # of exterior angles = 30 \n" ); document.write( "======================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |