document.write( "Question 427450: solve
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document.write( " the second angle of a triangle is 3 times as large as the first. the third angle is 55 more than the first. find all three angles. \n" );
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Algebra.Com's Answer #297264 by John10(297)![]() ![]() You can put this solution on YOUR website! The second angle of a triangle is 3 times as large as the first. The third angle is 55 more than the first. find all three angles.\r \n" ); document.write( "\n" ); document.write( " -----------------------------\r \n" ); document.write( "\n" ); document.write( "Let x be the first angle \n" ); document.write( " y------- second ---- \n" ); document.write( " z------- third------\r \n" ); document.write( "\n" ); document.write( "We know that the total degree of a triangle is 180 degrees: x + y + z = 180 (1)\r \n" ); document.write( "\n" ); document.write( "The second angle of a triangle is 3 times as large as the first: y = 3x (2)\r \n" ); document.write( "\n" ); document.write( "The third angle is 55 more than the first: z = x + 55 (3)\r \n" ); document.write( "\n" ); document.write( "Substitute (3) and (2) into (1) to find x:\r \n" ); document.write( "\n" ); document.write( "x + (3x) + (x +55) = 180 \n" ); document.write( "x + 3x + x + 55 = 180 \n" ); document.write( "5x = 125 \n" ); document.write( "x = 125 /5 \n" ); document.write( "x = 25\r \n" ); document.write( "\n" ); document.write( "Substitute x = 25 into (2) to find y and into (3) to find z:\r \n" ); document.write( "\n" ); document.write( "y = 3(25) = 75\r \n" ); document.write( "\n" ); document.write( "z= 25 + 55 = 80\r \n" ); document.write( "\n" ); document.write( "Thus the first angle is 25, second is 75 and the third is 80\r \n" ); document.write( "\n" ); document.write( "You can check by adding three angle together!!!!!!\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |