document.write( "Question 489394: If Angle L= y-2 and Angle M= 2x +3 Angle L and M are Complimentary
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document.write( "If Angle N=2x-y and Angle P= x-1 Angle N and P are Complimentary
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document.write( "We're suppose to find the values of of x,y,Angle L, M,N, and P. \n" );
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Algebra.Com's Answer #334045 by cleomenius(959)![]() ![]() You can put this solution on YOUR website! I used linear addition to add the two equations. \n" ); document.write( "y -2 + 2x + 3 = 90 \n" ); document.write( "2x -y + x - 1 = 90 \n" ); document.write( "=================================================== \n" ); document.write( "y + 2x = 89 \n" ); document.write( "-y + 3x = 91. ; Now, add the two equations. \n" ); document.write( "5x = 180 \n" ); document.write( "x = 36 degrees, \n" ); document.write( "====================================================== \n" ); document.write( "Plug 36 into the first equation to obtain y. \n" ); document.write( "y - 2 + 72 + 3 = 90 \n" ); document.write( "y = 17 degrees. \n" ); document.write( "=================================================== \n" ); document.write( "Plug into the second equation to check. \n" ); document.write( "2(36) -17 + 36 -1 = 90 \n" ); document.write( "144 - 17 + 36-1 = 90 \n" ); document.write( "y = 17 degrees. \n" ); document.write( "====================================================== \n" ); document.write( "Now obtain L and M. \n" ); document.write( "Angle L = 17 - 2 = 15 degrees. \n" ); document.write( "Angle M = 2(36) + 3 = 75degrees. \n" ); document.write( "========================================================== \n" ); document.write( "Now check angle L and angle m to ensure they are complements. \n" ); document.write( "15 degrees + 75 degrees = 90 degrees \n" ); document.write( "========================================================= \n" ); document.write( "Now obtain N and P. \n" ); document.write( "Angle N = 2(36) - 17 = 55 degrees. \n" ); document.write( "Angle P = 36 -1 = 35 degrees. \n" ); document.write( "============================================================= \n" ); document.write( "Now check angle L and angle m to ensure they are complements. \n" ); document.write( "55 degrees + 35 degrees = 90 degrees. \n" ); document.write( "Cleomenius.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |