document.write( "Question 212339: This is the problem out of the book. \"Angle L and Angle M are complementary angles. Angle N and Angle P are complementary angles. If the measure of angle L=y-2, the measure of angle M=2x+3, the measure of angle N=2x-y, and the measure of angle P=x-1, find the values of x, y, and the measures of angles L, M, N, and O.\" Please help me I don't even know where to start. \n" ); document.write( "
Algebra.Com's Answer #160704 by ankor@dixie-net.com(22740)\"\" \"About 
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This is the problem out of the book. \"Angle L and Angle M are complementary angles.
\n" ); document.write( "Angle N and Angle P are complementary angles.
\n" ); document.write( " If the measure of angle L=y-2, the measure of angle M=2x+3, the measure of angle N=2x-y, and the measure of angle P=x-1,
\n" ); document.write( " find the values of x, y, and the measures of angles L, M, N, and O
\n" ); document.write( ":
\n" ); document.write( "You can do this. A lot of steps, but each one is pretty simple
\n" ); document.write( ":
\n" ); document.write( "\"Angle L and Angle M are complementary angles. \"; from these statements write:
\n" ); document.write( "L + M = 90
\n" ); document.write( ":
\n" ); document.write( "\"Angle N and Angle P are complementary angles.\"
\n" ); document.write( "N + P = 90
\n" ); document.write( ":
\n" ); document.write( "\"If the measure of angle L = y-2, the measure of angle M=2x+3,\"
\n" ); document.write( "L + M = 90
\n" ); document.write( "Substitute for L and M, do some basic algebra and you have:
\n" ); document.write( "(y-2) + (2x+3) = 90
\n" ); document.write( "2x + y - 2 + 3 = 90
\n" ); document.write( "2x + y + 1 = 90
\n" ); document.write( "2x + y = 90 - 1
\n" ); document.write( "2x + y = 89
\n" ); document.write( ":
\n" ); document.write( " the measure of angle N=2x-y, and the measure of angle P=x-1,
\n" ); document.write( "N + P = 90
\n" ); document.write( "Substitute for N and P and do the same as above
\n" ); document.write( "(2x-y) + (x-1) = 90
\n" ); document.write( "2x + x - y - 1 = 90
\n" ); document.write( "3x - y = 90 + 1
\n" ); document.write( "3x - y = 91
\n" ); document.write( ":
\n" ); document.write( "We can use elimination with these two equations
\n" ); document.write( "3x - y = 91
\n" ); document.write( "2x + y = 89
\n" ); document.write( "--------------addition eliminates y, find x
\n" ); document.write( "5x = 180
\n" ); document.write( "x = \"180%2F5\"
\n" ); document.write( "x = 36
\n" ); document.write( ":
\n" ); document.write( "Find y using the equation 2x + y = 89, substitute for x
\n" ); document.write( "2(36) + y = 89
\n" ); document.write( "72 + y = 89
\n" ); document.write( "y = 89 - 72
\n" ); document.write( "y = 17
\n" ); document.write( ";
\n" ); document.write( "We know the values: x=36; y=17
\n" ); document.write( ":
\n" ); document.write( "\" find the measures of angles L, M, N, and O,
\n" ); document.write( "use the given equation and substitute for x and y
\n" ); document.write( "L = y - 2
\n" ); document.write( "L = 17 - 2
\n" ); document.write( "L = 15
\n" ); document.write( ":
\n" ); document.write( "M = 2(36) + 3
\n" ); document.write( "M = 72 + 3
\n" ); document.write( "M = 75
\n" ); document.write( "We can check this: 15 + 75 = 90 as L and M are complimentary
\n" ); document.write( ":
\n" ); document.write( "N = 2x - y
\n" ); document.write( "N = 2(36) - 17
\n" ); document.write( "N = 72 - 17
\n" ); document.write( "N = 55
\n" ); document.write( ":
\n" ); document.write( "P = 36 - 1
\n" ); document.write( "P = 35
\n" ); document.write( "Check this for complimentary 55 + 35 = 90
\n" ); document.write( ":
\n" ); document.write( "we have
\n" ); document.write( "x = 36
\n" ); document.write( "y = 17
\n" ); document.write( "L = 15
\n" ); document.write( "M = 75
\n" ); document.write( "N = 55
\n" ); document.write( "P = 35
\n" ); document.write( ":
\n" ); document.write( "How about this, did it make sense? Any questions? ankor@att.net \n" ); document.write( "
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