document.write( "Question 31879This question is from textbook
\n" ); document.write( ": Angle L and Angle M are complementary angles. Angle N and Angle P ae complementary angles. If angle L = y-2, angle M - 2x + 3, angle N = 2x-y, and angle P = x-1, what is the values of x, y, angle L,angle M,angle N and angle P?\r
\n" ); document.write( "\n" ); document.write( "I have worked on this for three days, called my grandfather and he too can not figure it out. I know that they suppose to equal 90 degrees I just cant figure out how to get there.\r
\n" ); document.write( "\n" ); document.write( "Help PLEASE \n" ); document.write( "

Algebra.Com's Answer #18448 by Cintchr(481) $\"\"$ $\"About$

You can put this solution on YOUR website!
Ohhh ... I love this one ...
\n" ); document.write( "if angles are complementary ... when added they equal 90 deg.
\n" ); document.write( "and if you have two sets of them ... the equal 180 degrees
\n" ); document.write( "1. L+M=90
\n" ); document.write( "2. N+P=90
\n" ); document.write( "3. L+M+N+P=180
\n" ); document.write( "4. L=y-2
\n" ); document.write( "5. M=2x+3
\n" ); document.write( "6. N=2x-y
\n" ); document.write( "7. P=x-1
\n" ); document.write( "Plug equations 4, 5, 6, and 7 into equation 3
\n" ); document.write( " $\"+L%2BM%2BN%2BP=180+\"$
\n" ); document.write( " $\"+1y+-+2+%2B+2x+%2B+3+%2B+2x+-+1y+%2B+1x+-+1+=+180+\"$
\n" ); document.write( "To better combine like terms ... rearange the numbers
\n" ); document.write( " $\"+2x+%2B+2x+%2B+1x+%2B+1y+-+1y+-+2+%2B+3+-+1+=+180+\"$
\n" ); document.write( "combine like terms (y's and constants cancel out)
\n" ); document.write( " $\"+5x+=+180+\"$
\n" ); document.write( "Divide by 5
\n" ); document.write( " $\"+x+=+36+\"$
\n" ); document.write( "Plug this back into equations 5 and 7
\n" ); document.write( " $\"+M=2x%2B3+\"$ and $\"+P=x-1+\"$
\n" ); document.write( " $\"+M=2%2836%29%2B3+\"$ and $\"+P=36-1+\"$
\n" ); document.write( " $\"+M=72%2B3+\"$ and $\"+P=35+\"$
\n" ); document.write( " $\"+M=75+\"$
\n" ); document.write( "Take the M and P values and plug them back into equations 1 and 2
\n" ); document.write( " $\"+L%2BM=90+\"$ and $\"+N%2BP=90+\"$
\n" ); document.write( " $\"+L%2B75=90+\"$ and $\"+N%2B35=90+\"$
\n" ); document.write( " $\"+L=15+\"$ and $\"+N=55+\"$
\n" ); document.write( "Plug these values back into equations 4 and 6 and solve (don't forget the x)
\n" ); document.write( " $\"+L=y-2+\"$ and $\"+N=2x-y+\"$
\n" ); document.write( " $\"+15=y-2+\"$ and $\"+55=2%2836%29-y+\"$
\n" ); document.write( " $\"+17=y+\"$ and $\"+55=72-y+\"$
\n" ); document.write( " $\"+17=y+\"$ and $\"+-17=-y+\"$
\n" ); document.write( " $\"+17=y+\"$ and $\"+17=y+\"$
\n" ); document.write( "OKAY ..... Looking back through ...
\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" );