document.write( "Question 363729: Angle M and Angle N are Supplimentary Angles. If Angle M is 9 more than 1/2, Angle N what are the measures of the Angles? Show the work... \n" ); document.write( "
Algebra.Com's Answer #259395 by amoresroy(361) You can put this solution on YOUR website! First Equation: \n" ); document.write( "M + N = 180\r \n" ); document.write( "\n" ); document.write( "2nd Equation \n" ); document.write( "M = N/2 + 9\r \n" ); document.write( "\n" ); document.write( "Substitute the value of M in Equation 2 to Equation 1\r \n" ); document.write( "\n" ); document.write( "(N/2 + 9) + N = 180 \n" ); document.write( "N (1/2 + 1) = 180 - 9 \n" ); document.write( " 3N/2 = 171 \n" ); document.write( " \n" ); document.write( "Multiply equation by 2/3\r \n" ); document.write( "\n" ); document.write( " N = 2/3 (171) \n" ); document.write( " N = 114\r \n" ); document.write( "\n" ); document.write( "Since M + N = 180 \n" ); document.write( " M = 180 - N \n" ); document.write( " M = 180 - 114 \n" ); document.write( " M = 66\r \n" ); document.write( "\n" ); document.write( "The angles are 66 & 114 \n" ); document.write( " |