document.write( "Question 1109017: One third of a polygon's interior angles are 150°, another third are 140° and the others are 160°. Find the number of sides in the polygon. \n" ); document.write( "
Algebra.Com's Answer #724027 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! sum of angles is (n-2)(180) \n" ); document.write( "x= number of angles that are 150, 140, and 160 \n" ); document.write( "150x+140x+160x=(n-2)180 and here n=3x \n" ); document.write( "450x=(3x-2)(180) \n" ); document.write( "2.5x=3x-2 \n" ); document.write( "0.5x=2 \n" ); document.write( "x=4 \n" ); document.write( "12 sided polygon \n" ); document.write( "(n-2)(180)=1800 degrees sum of interior angles \n" ); document.write( "150*4=600 \n" ); document.write( "140*4=560 \n" ); document.write( "160*4=640 \n" ); document.write( "add to 1800 degrees \n" ); document.write( " \n" ); document.write( " |