document.write( "Question 630711: one polygon has three more sides than another.how many more degrees are in the sum
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document.write( "of the interior angle measures of the first polygon? \n" );
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Algebra.Com's Answer #397106 by Theo(13342) You can put this solution on YOUR website! X = NUMBER OF SIDES OF ONE POLYGON \n" ); document.write( "X+3 = NUMBER OF SIDES OF OTHER POLYGON \n" ); document.write( "NUMBER OF DEGREES IN ONE POLYGON IS EQUAL TO 180 * (X-2) \n" ); document.write( "NUMBER OF DEGREES IN OTHER POLYGON IS EQUAL TO 180 * (X-2+3) \n" ); document.write( "DIFFERENCE IN DEGREES BETWEEN THE 2 IS: \n" ); document.write( "180 * (X-2+3) MINUS (180 * (X-2)) \n" ); document.write( "SIMPLIFY THIS TO GET: \n" ); document.write( "180 * (X+1) MINUS (180*(X-2)) \n" ); document.write( "SIMPLIFY FURTHER TO GET: \n" ); document.write( "180*X + 180 MINUS (180*X - 360) \n" ); document.write( "SIMPLIFY FURTHER TO GET: \n" ); document.write( "180*X + 180 MINUS 180*X + 360 \n" ); document.write( "COMBINE LIKE TERMS TO GET: \n" ); document.write( "+540 \n" ); document.write( "THE POLYGON WITH 3 MORE SIDES WILL HAVE 540 MORE DEGREES IN ITS SUM THAN THE POLYGON WITH 3 LESS SIDES. \n" ); document.write( "AN EXAMPLE: \n" ); document.write( "POLYGON WITH 3 SIDES IS EQUAL TO A SUM OF (3-2)*180 = 180 \n" ); document.write( "POLYGON WITH 6 SIDES IS EQUAL TO A SUM OF (6-2)*180 = 720 \n" ); document.write( "DIFFERENCE BETWEEN THE 2 IS 720 - 180 = 540\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |