document.write( "Question 1054267: the square of the complement of an angle is equal to 90 more than three times the supplement of the angle. what is the measure of the angle \n" ); document.write( "

Algebra.Com's Answer #669487 by Boreal(15235) $\"\"$ $\"About$

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x is angle
\n" ); document.write( "90-x is complement
\n" ); document.write( "180-x is the supplement
\n" ); document.write( "(90-x)^2-90=3(180-x)
\n" ); document.write( "8100-180x+x^2-90=540-3x
\n" ); document.write( "x^2-177x+7470=0
\n" ); document.write( "x=(1/2)(177+/- sqrt (177^2-29880); sqrt term=38.07
\n" ); document.write( "x=(1/2)(177+/-38.07)
\n" ); document.write( "x=107.58, has no complement
\n" ); document.write( "x=69.467 angle, complement is 20.533, complement squared is 421.599, supplement is 110.533, multiplied by 3 is 331.599, subtract 90 from 421.599 and get 331.599.
\n" ); document.write( "The angle is 69.47 degrees.
\n" ); document.write( "Check: 70 should be close
\n" ); document.write( "complement is 20, supplement 110
\n" ); document.write( "complement squared is 400, but that is 70 more than 3 times the supplement.
\n" ); document.write( "Try 69
\n" ); document.write( "Complement is 21, supplement is 111
\n" ); document.write( "square of complement is 441, 3 times supplement is 333, and that is 108 less than the complement. \n" ); document.write( "

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