document.write( "Question 443054: In triangle ABC, angle B is 4 times A and angle C is 12 degrees less than 5 times angle A. Find the size of the angles.\r
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document.write( "The size of angle A is ___ degrees?
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document.write( "The size of angle B is ___ degrees?
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document.write( "The size of angle C is ___ degrees?\r
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document.write( "Simplify your answer for each. Type an integer or a decimal. \n" );
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Algebra.Com's Answer #305596 by swincher4391(1107)![]() ![]() You can put this solution on YOUR website! We know that A + B +C = 180 \n" ); document.write( "They tell us: \n" ); document.write( "B = 4A \n" ); document.write( "C = 5A - 12\r \n" ); document.write( "\n" ); document.write( "Then A + 4A + (5A-12) = 180 \n" ); document.write( "10A - 12 = 180 \n" ); document.write( "10A = 192 \n" ); document.write( "A = 19.2º\r \n" ); document.write( "\n" ); document.write( "B = 4(19.2) = 76.8º\r \n" ); document.write( "\n" ); document.write( "19.2 + 76.8 + C = 180\r \n" ); document.write( "\n" ); document.write( "96 + C = 180\r \n" ); document.write( "\n" ); document.write( "C = 180 - 96\r \n" ); document.write( "\n" ); document.write( "C = 84º\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The angles are 19.2, 76.8, 84.\r \n" ); document.write( "\n" ); document.write( "What you asked for, Angle A, is 19.2º.\r \n" ); document.write( "\n" ); document.write( "Hope this helped! \n" ); document.write( " |