document.write( "Question 107675: Two angles are supplementary and the measure of one of them is 20% less than three times the measure of the other. Find the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #80067 by richmusick(3)\"\" \"About 
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X+Y=180 OR X=180-Y
\n" ); document.write( "X=3Y - .2(3Y)
\n" ); document.write( "X=3Y - .6Y
\n" ); document.write( "X=2.4Y
\n" ); document.write( "2.4Y + Y = 180
\n" ); document.write( "3.4Y=180
\n" ); document.write( "Y=180/3.4
\n" ); document.write( "Y=53° FOR THE SMALLER ANGLE.
\n" ); document.write( "X+53°=180°
\n" ); document.write( "X=180° - 53°
\n" ); document.write( "X=127° FOR THE LARGER ANGLE.\r
\n" ); document.write( "\n" ); document.write( "PROOF
\n" ); document.write( "Y = 53°
\n" ); document.write( "X = 2.4Y
\n" ); document.write( "2.4(53) = 127°
\n" ); document.write( "53° + 127°=180°
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