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)\"\" \"About 
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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
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