document.write( "Question 342243: The sum of the measures of two complementary angles exceeds the difference of the measures of their supplements by 32 degrees. Find the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #244928 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let one angle be x \n" ); document.write( "the other complementary angle will be 90-x \n" ); document.write( "... \n" ); document.write( "supplementary angle will be 180-x \n" ); document.write( ".. \n" ); document.write( "x+(90-x)-x+(180-x)= 32 \n" ); document.write( "x+90-x -x +180 -x=32 \n" ); document.write( "-2x=32-180-90 \n" ); document.write( "-2x=-238 \n" ); document.write( "divide by -2 \n" ); document.write( "x= -238/-2 \n" ); document.write( "x=119 degrees \n" ); document.write( "CHECK \n" ); document.write( "119+(90-119)-119+(180-119)=32\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |