document.write( "Question 548094: Find the number of sides of the regular polygon whose interior angles each measure 156 degrees \n" ); document.write( "
Algebra.Com's Answer #356705 by oberobic(2304) ![]() You can put this solution on YOUR website! Total interior angles = (n-2)*180 \n" ); document.write( ". \n" ); document.write( "So, the average interior angle = ( (n-2)*180 ) / n \n" ); document.write( ". \n" ); document.write( "((n-2)*180)/n = 156 \n" ); document.write( ". \n" ); document.write( "(n-2)*180 = 156n \n" ); document.write( "180n -360 = 156n \n" ); document.write( "24n = 360 \n" ); document.write( "n = 15 \n" ); document.write( ". \n" ); document.write( "The polygon has 15 sides. \n" ); document.write( " |