document.write( "Question 500130: two angles are complementary. if one measures 18 degrees more than twice the measure of the other, find the measure of each angle \n" ); document.write( "
Algebra.Com's Answer #338000 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! Complementary angles total 90 degrees. \n" ); document.write( ". \n" ); document.write( "A = one angle \n" ); document.write( "B = another angle. \n" ); document.write( ". \n" ); document.write( "A+B = 90 because they are complementary. \n" ); document.write( "So, A = 90-B. \n" ); document.write( ". \n" ); document.write( "A = 2B + 18 \n" ); document.write( ". \n" ); document.write( "A = A \n" ); document.write( ". \n" ); document.write( "90-B = 2B + 18 \n" ); document.write( "90 = 3B + 18 \n" ); document.write( "72 = 3B \n" ); document.write( "3B = 72 \n" ); document.write( "B = 24 \n" ); document.write( ". \n" ); document.write( "A = 90-B \n" ); document.write( "A = 90-24 \n" ); document.write( "A = 66 \n" ); document.write( ". \n" ); document.write( "Always check your work. \n" ); document.write( ". \n" ); document.write( "2B+ 18 = 2(24) + 18 = 48+18 = 66 \n" ); document.write( "Correct. \n" ); document.write( ". \n" ); document.write( "Answer: \n" ); document.write( "The two angles are: 24 and 66. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |