document.write( "Question 1160484: When angles are complementary the sum of their measures is 90 degrees two complementary angles have measure of 2x - 10 degrees and 3x -10 degrees find the measures of each angle \n" ); document.write( "
Algebra.Com's Answer #783752 by Theo(13342)![]() ![]() You can put this solution on YOUR website! if the angles are complementary, then their sum is 90 degrees \n" ); document.write( "(2x - 10) + (3x - 10) = 90 \n" ); document.write( "simplify to get: \n" ); document.write( "2x - 10 + 3x - 10 = 90 \n" ); document.write( "combine like terms to get: \n" ); document.write( "5x - 20 = 90 \n" ); document.write( "add 20 to both sides of the equation to get: \n" ); document.write( "5x = 110 \n" ); document.write( "solve for x to get: \n" ); document.write( "x = 110 / 5 = 22 degrees. \n" ); document.write( "2x - 10 = 44 - 10 = 34 degrees. \n" ); document.write( "3x - 10 = 66 - 10 = 56 degrees. \n" ); document.write( "34 + 56 = 90 degrees. \n" ); document.write( "the angles are 34 and 56 degrees and they are complementary.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |