document.write( "Question 599461: Please help me solve this problem: the difference between the measures of two complementary angles is 14. Find both angles. \n" ); document.write( "
Algebra.Com's Answer #378957 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Please help me solve this problem: the difference between the measures of two complementary angles is 14. Find both angles. \n" ); document.write( ". \n" ); document.write( "Two angles are complementary if the sum of the two angles equals 90 degrees. \n" ); document.write( ". \n" ); document.write( "Let x = measure of one angle \n" ); document.write( "then \n" ); document.write( "90-x = measure of second angle \n" ); document.write( ". \n" ); document.write( "x - (90-x) = 14 \n" ); document.write( "x - 90+x = 14 \n" ); document.write( "2x - 90 = 14 \n" ); document.write( "2x = 104 \n" ); document.write( "x = 52 degrees \n" ); document.write( ". \n" ); document.write( "second angle: \n" ); document.write( "90-x = 90-54 = 36 degrees \n" ); document.write( ". \n" ); document.write( "answer: 52 and 36 degrees \n" ); document.write( " |