document.write( "Question 578757:
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document.write( " The sum of the interior angles of a triangle can be represented by consecutive even integers. Find the first of the three integers.
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Algebra.Com's Answer #370762 by dfrazzetto(283)![]() ![]() You can put this solution on YOUR website! consecutive even integers:\r \n" ); document.write( "\n" ); document.write( "2n, 2n+2, 2n+4\r \n" ); document.write( "\n" ); document.write( "interior angles of a triangle always sum to 180\r \n" ); document.write( "\n" ); document.write( "2n+2n+2+2n+4 = 180\r \n" ); document.write( "\n" ); document.write( "6n+6=180\r \n" ); document.write( "\n" ); document.write( "6n= 174\r \n" ); document.write( "\n" ); document.write( "n = 29\r \n" ); document.write( "\n" ); document.write( "First integer is 2n = 2(29) = 58\r \n" ); document.write( "\n" ); document.write( "CHECK:\r \n" ); document.write( "\n" ); document.write( "58 + 60 + 62 = 180 √ \n" ); document.write( " |