document.write( "Question 142969: Any help with this system of linear equation would be appreciated.\r
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document.write( "In a triangle, the sum of the interior angles is 180 degrees. If angle A is three times as large as angle B, and angles B and C sum to 90 degrees, what is the measure of each angle? \n" );
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Algebra.Com's Answer #104021 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! From the problem description, you can write: \n" ); document.write( "A = 3B \"...angle A is three times as large as angle B,...\" \n" ); document.write( "B+C = 90 \"...angles B and C sum to 90 degrees,...\" \n" ); document.write( "A+B+C = 180 Substitute B+C = 90 \n" ); document.write( "A+90 = 180 Subtract 90 from both sides. \n" ); document.write( "A = 90 degrees. Substitute A = 3B. \n" ); document.write( "3B = 90 Divide both sides by 3. \n" ); document.write( "B = 30 degrees. \n" ); document.write( "B+C = 90 Substitute B = 30. \n" ); document.write( "30+C = 90 Subtract 30 from both sides. \n" ); document.write( "C = 60 degrees. \n" ); document.write( "----------------- \n" ); document.write( "Angle A = 90 degrees. \n" ); document.write( "Angle B = 30 degrees. \n" ); document.write( "Angle C = 60 degrees. \n" ); document.write( " |