document.write( "Question 811964: If angles 1 and 2 are supplementary, and angle 1 is obtuse, prove angle 2 is acute. \n" ); document.write( "
Algebra.Com's Answer #488959 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Measure angle 1 plus measure angle 2 = 180 by definition of supplementary.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Measure angle 1 greater than 90 by definition of obtuse.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Measure angle 2 = 180 minus measure angle 1 by addition postulate\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If measure angle 1 is greater than 90, then measure angle 1 must be equal to 90 plus some real number x where x is greater than zero. Definition of \"greater than\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Measure angle 2 = 180 - (90 + x) = 90 - x where x > 0. By substitution and the distributive property.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Measure angle 2 is less than 90 by definition of \"less than\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Angle 2 is acute by definition of acute.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "John \n" ); document.write( " \n" ); document.write( "Egw to Beta kai to Sigma \n" ); document.write( "My calculator said it, I believe it, that settles it \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |