document.write( "Question 217754: Each angle of a regular polygon measures 174 degrees. How many sides does it have? \n" ); document.write( "
Algebra.Com's Answer #164108 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Remember the formula for the sum of the interior angles of a polygon is \n" ); document.write( ". \n" ); document.write( "(n-2) * 180,,,,,,,,,,,,,,for a triangle with 3 sides,,,,(3-2)(180)=180,,,,ok \n" ); document.write( ". \n" ); document.write( "however the individual angles is the sum / n,,,,,,or \n" ); document.write( ". \n" ); document.write( "(n-2(180)/n \n" ); document.write( ". \n" ); document.write( "applying this to 174 \n" ); document.write( ". \n" ); document.write( "(n-2)(180)/n = 174 \n" ); document.write( ". \n" ); document.write( "(n-2)(180) = 174 n \n" ); document.write( ". \n" ); document.write( "180n -360 =174n \n" ); document.write( ". \n" ); document.write( "6n = 360 \n" ); document.write( ". \n" ); document.write( "n=60,,,,,,answer \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "check,,,(n-2) (180) /n = 58 *180 / 60 = 174,,,,ok \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |