SOLUTION: If Angle L= y-2 and Angle M= 2x +3 Angle L and M are Complimentary If Angle N=2x-y and Angle P= x-1 Angle N and P are Complimentary We're suppose to find the values of of x

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

RELATED QUESTIONS
angle L and angle M are complementary angles. angle N and angle P are complementary... (answered by Fombitz)

Angle L and Angle M are complementary angles. Angle N and Angle P are complementary... (answered by hard)

Angle L and angle M are complementary angles.Angle N and angle P are complementary... (answered by edjones)

Angle L & angle M are complementary; Angle N & angle P are complementary. -If the... (answered by stanbon)

Problem: Angle M and angle L are complementary angles. Angle N and angle P are... (answered by cleomenius)

This is the problem out of the book. "Angle L and Angle M are complementary angles. Angle (answered by ankor@dixie-net.com)

anglel and m are complementary. Angle p and N are complementary. angle l= y-2. m=2x+3 (answered by gsmani_iyer)

Angle L and Angle M are complementary angles. Angle N and Angle P ae complementary... (answered by Cintchr,venugopalramana,Earlsdon)

If angle M = angle P and angle N = angle P, them angle M = angle... (answered by tommyt3rd)