Geometry/ Algebra Help Please(angle measure and equations)?

Question

1.) The measure of an angle's supplement is 44 less than the measure of the angle. Find the angle and its supplement?

I came up with 44x=180 but I think its wrong?

2,) L and M are complementary angles. N and P are complementary angles. If the measure of L = y-2, the measure of M= 2x+3, the measure of N=2x-y and the measure of P =x-1 find the values of x,y and the measures of L,M,N,and P.

Im not sure how to do this one but my first thought would be to put all the equations together like y-2+2x+3+2x-y+x-1 then mybe add like terms. Am I correct, if not please help. Thanks

Answer 1

(180 - x) = x - 44
180 - x = x - 44
-2x = -224
x = 112

180 - 112 = 68

ANS : 68 and 112

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2.)
L + M + N + P = 180
(y - 2) + (2x + 3) + (2x - y) + (x - 1) = 180
y - 2 + 2x + 3 + 2x - y + x - 1 = 180
(1 - 1)y + (2 + 2 + 1)x + (-2 + 3 - 1) = 180
5x + (1 - 1) = 180
5x = 180
x = 36

L + M = 90
(y - 2) + (2x + 3) = 90
y - 2 + 2x + 3 = 90
y + 2x + 1 = 90
y = -2x + 89
y = -2(36) + 89
y = -72 + 89
y = 17

L = 17 - 2 = 15
M = 2(36) + 3 = 72 + 3 = 75

N + P = 90
(2x - y) + (x - 1) = 90
2x - y + x - 1 = 90
3x - y - 1 = 90
-y = -3x + 91
y = 3x - 91
y = 3(36) - 91 = 108 - 91 = 17

N = 2(36) - 17 = 72 - 17 = 55
P = 36 - 1 = 35

L = 15°
M = 75°
N = 55°
P = 35°

Answer 2

1) If one angle is x, the other is x-44. So the equation ends up being x + x -44 = 180

2) Using the info from L and M: 2x+3+y-2=90
Using the info from N and P: 2x-y+x-1=90
You now have a system of equations to solve (2 equations, 2 unknowns)

I won't tell you the answers... but it's a step in the right direction

Answer 3

I am going to be completely unhelpful as far as the answer goes (I suck at math!!) but I wanted to say that you are the first homework question on here that I have seen that is actually trying to figure it out for yourself, and that made me happy. :) Good luck on your algebra endeavors