document.write( "Question 27223: SUppose angle T and angle U are complementary. Find the measure of angle T and the measure of angle U if the measure of angle T = 16x-9 and the measure of angle U = 4x+3. \r
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Algebra.Com's Answer #14816 by sdmmadam@yahoo.com(530)![]() ![]() ![]() You can put this solution on YOUR website! AngleT = 16x - 9 degrees \n" ); document.write( " AngleU = 4x + 3 degreen \n" ); document.write( " Given that T and U are compimentary \n" ); document.write( " Therefore T + U = 90 degrees \n" ); document.write( " That is (16x - 9) + (4x + 3 ) = 90 \n" ); document.write( "By addititve associativity and commutativity, we have \n" ); document.write( " (16x + 4x) + ( -9 + 3 ) = 90 \n" ); document.write( " 20x - 6 = 90 \n" ); document.write( " 20x = 90 + 6 (by transposing, that is change side, then change sign) \n" ); document.write( " 20x = 96 \n" ); document.write( " x = 96/20 = 4.8 \n" ); document.write( "Therefore Angle T = 16x - 9 = 16x4.8 - 9 = 76.8 - 9.0 = 67.8 degrees \n" ); document.write( " And Angle U = 4x + 3 = 4x4.8 + 3 = 19.2 + 3.0 = 22.2 degrees \n" ); document.write( "Verification: \n" ); document.write( "T and U are Complimentary \n" ); document.write( "T + U = 67.8 + 22.2 = 90 which is correct \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |