document.write( "Question 648556: Find the measure of an angle and its compliment if one angle measures 24 degrees more than the other \n" ); document.write( "
Algebra.Com's Answer #406723 by swincher4391(1107)![]() ![]() You can put this solution on YOUR website! By definition if two angles are complementary, they add up to 90 degrees.\r \n" ); document.write( "\n" ); document.write( "Let x be one of the complementary angles. Let x+24 be other.\r \n" ); document.write( "\n" ); document.write( "Then x+x+24 = 90\r \n" ); document.write( "\n" ); document.write( "2x + 24 = 90\r \n" ); document.write( "\n" ); document.write( "2x = 66\r \n" ); document.write( "\n" ); document.write( "x = 33\r \n" ); document.write( "\n" ); document.write( "33 is one angle\r \n" ); document.write( "\n" ); document.write( "(33+24) = 57 is the other.\r \n" ); document.write( "\n" ); document.write( "33,57 \n" ); document.write( "------------------------- \n" ); document.write( "To check:\r \n" ); document.write( "\n" ); document.write( "33+57 = 90\r \n" ); document.write( "\n" ); document.write( "Thus, these are complementary angles. \n" ); document.write( " |