document.write( "Question 518662: In a triangle ABC, angle B is 4 times angle A and angle C is 16 degrees less than 5 times angle A.
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document.write( "I can find angle A, but am lost on how to find B and C. \n" );
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Algebra.Com's Answer #345238 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In a triangle ABC, angle B is 4 times angle A and angle C is 16 degrees less than 5 times angle A. \n" ); document.write( "---- \n" ); document.write( "Equations: \n" ); document.write( "A + B + C = 180 degrees \n" ); document.write( "B = 4A \n" ); document.write( "C = 5A - 16 \n" ); document.write( "------------------ \n" ); document.write( "Substitute for \"B\" and for \"C\" and solve for \"A\": \n" ); document.write( "A + 4A + 5A-16 = 180 \n" ); document.write( "10A = 196 \n" ); document.write( "A = 19.6 degrees \n" ); document.write( "--- \n" ); document.write( "B = 4A = 78.4 degrees \n" ); document.write( "--- \n" ); document.write( "C = 5A-16 = 5*19.6-16 = 82 degrees \n" ); document.write( "===================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "======================== \n" ); document.write( " |