SOLUTION: angle L and angle M are complementary angles. angle N and angle P are complementary angles. If angle L= y-2, angle M= 2x+3, angle N= 2x-y and angle P= x-1 , then find values of x,

Algebra ->  Angles -> SOLUTION: angle L and angle M are complementary angles. angle N and angle P are complementary angles. If angle L= y-2, angle M= 2x+3, angle N= 2x-y and angle P= x-1 , then find values of x,       Log On


   

Question 348797: angle L and angle M are complementary angles. angle N and angle P are complementary angles. If angle L= y-2, angle M= 2x+3, angle N= 2x-y and angle P= x-1 , then find values of x, y, angle M, angle L, angle N, and angle P
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
L%2BM=90
y-2%2B2x%2B3=90
1.2x%2By=89
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M%2BN=90
2x-y%2Bx-1=90
2.3x-y=91
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Add eq. 1 to eq. 2,
2x%2By%2B3x-y=89%2B91
5x=180
highlight%28x=36%29
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Then from eq. 1,
2%2836%29%2By=89
highlight%28y=17%29
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L=+17-2
highlight_green%28+L=15%29 degrees
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M=+2%2836%29%2B3
highlight_green%28+M=75%29 degrees
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N=+2%2836%29-17
N=72-17
highlight_green%28+N=55%29degrees
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P=+36-1
highlight_green%28+P=35%29degrees
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