document.write( "Question 157436: The sum of the measure of two complementaty angles exceeds the difference of their measure by 132 degree. Find the measure of each angle \n" ); document.write( "
Algebra.Com's Answer #116022 by gonzo(654) ![]() You can put this solution on YOUR website! angle is x. \n" ); document.write( "complement of that angle is 90-x. \n" ); document.write( "x + (90-x) = x - (90-x) + 137. \n" ); document.write( "x + 90 - x = x - 90 + x + 137. \n" ); document.write( "90 = 2*x - 90 + 137 \n" ); document.write( "180 = 2*x + 137 \n" ); document.write( "180 - 137 = 2*x \n" ); document.write( "2*x = 43 \n" ); document.write( "x = 21.5 \n" ); document.write( "putting x = 21.5 in the original equation, we get \n" ); document.write( "21.5 + (90-21.5) = 21.5 - (90-21.5) + 137 \n" ); document.write( "21.5 + 90 - 21.5 = 21.5 - 90 + 21.5 + 137 \n" ); document.write( "90 = 43 - 90 + 137 \n" ); document.write( "90 = 180 - 90 \n" ); document.write( "90 = 90 \n" ); document.write( "formula check out ok. \n" ); document.write( "angle is 21.5 degrees.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |