document.write( "Question 715079: Two complementary angles are in a ratio of 1 to 4. find the measure of each angle. (what are complementary angles? what is there some?) \n" ); document.write( "
Algebra.Com's Answer #439234 by checkley79(3341)![]() ![]() ![]() You can put this solution on YOUR website! COMPLEMENTARY ANGLES ADD UP TO 90 DEGREES. \n" ); document.write( "X+Y=90 \n" ); document.write( "Y=90-X \n" ); document.write( "1/4=X/Y \n" ); document.write( "1/4=X/(90-X) CROSS MULTIPLY. \n" ); document.write( "4X=90-X \n" ); document.write( "4X+X=90 \n" ); document.write( "5X=90 \n" ); document.write( "X=90/5 \n" ); document.write( "X=18 DEGREES FOR THE SMALLER ANGLE. \n" ); document.write( "18+Y=90 \n" ); document.write( "Y=90-18 \n" ); document.write( "Y=72 DEGREES FOR THE LARGER ANGLE. \n" ); document.write( "PROOF: \n" ); document.write( "1/4=18/72 \n" ); document.write( "72=72 \n" ); document.write( " \n" ); document.write( " |