document.write( "Question 485680: Problem:
\n" );
document.write( "Angle M and angle L are complementary angles. Angle N and angle P are complementary angles. If angle L equals y-2, angle M equals 2x+3, and angle N equals 2x-y, and angle P equals x-1. Find the values of x, y, angle L, angle M, angle N, and angle P.\r
\n" );
document.write( "\n" );
document.write( "I tried making an shape using two intersecting lines and labeling them L, M, N, and P, then putting the equation next to each one. Then I tried setting angle P and M equal to eachother since they are congruent angles. But I am just not sure you are supposed to do it that way. \n" );
document.write( "
Algebra.Com's Answer #332488 by cleomenius(959)![]() ![]() You can put this solution on YOUR website! I solved this using simultaneous equations. \n" ); document.write( "2x + 3 + y - 2 = 90 \n" ); document.write( "2x -y + x -1 = 90 \n" ); document.write( "=========================== \n" ); document.write( "2x + y + 1 = 90 \n" ); document.write( "3x - y - 1 = 90 \n" ); document.write( "__________________ \n" ); document.write( "2x + y = 89 \n" ); document.write( "3x - y = 91 (add the equations) \n" ); document.write( "5x = 180 \n" ); document.write( "x = 36 degrees.\r \n" ); document.write( "\n" ); document.write( "plugging into the first equation \n" ); document.write( "72 + y + 3 -2 = 90 \n" ); document.write( "y = 17 degrees.\r \n" ); document.write( "\n" ); document.write( "So, \n" ); document.write( "Angle L = 17 - 2 = 15 degrees \n" ); document.write( "Angle M = 2(36) + 3 = 75 degrees \n" ); document.write( "Angles L + M = 90 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Angle N = 2(36) - 17= 55 degrees. \n" ); document.write( "Angle P = 36 - 1 = 35 degrees. \n" ); document.write( "Angles N + P = 90 degrees.\r \n" ); document.write( "\n" ); document.write( "Cleomenius.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |