document.write( "Question 135354: One of two supplementary angles is 4 degree more than one-third of the other angle. find the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #99167 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! SUPPLEMENTARY ANGLES (2) ADD UP YO 180 DEGREES. \n" ); document.write( "THEREFORE: \n" ); document.write( "X=Y/3+4 & X+Y=180 \n" ); document.write( "THUS WE HAVE THE EQUATION \n" ); document.write( "(Y/3+4)+Y=180 \n" ); document.write( "Y/3+4+Y=180 \n" ); document.write( "Y/3+Y=180-4 \n" ); document.write( "(Y+3Y)/3=176 \n" ); document.write( "4Y=176*3 \n" ); document.write( "4Y=528 \n" ); document.write( "Y=528/4 \n" ); document.write( "Y=132 DEGREES IS THE LARGER ANGLE. \n" ); document.write( "X=132=180 \n" ); document.write( "X=180-132 \n" ); document.write( "X=48 DEGREES FOR THE SMALLER ANGLE. \n" ); document.write( "PROOF: \n" ); document.write( "132/3+4+132=180 \n" ); document.write( "44+4+132=180 \n" ); document.write( "180=180 \n" ); document.write( " \n" ); document.write( " |