Posted by **Jillian** on Sunday, August 30, 2009 at 1:54pm.

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

how do you work this out?

- Math -
**bobpursley**, Sunday, August 30, 2009 at 2:28pm
If L and M add to 180, then

y-2+2x+3=180 simplify that, then use

N+P=180 or

2x-y+x-1=180 simplify that,

Now you have two standard equations. Solve for x and y.

- Math -
**Reiny**, Sunday, August 30, 2009 at 3:00pm
Complementary angles add up to 90º

Bob must have been thinking of supplementary angles

take his two equations and set them equal to 90 instead of 180, that is ...

y-2+2x+3=90 and 2x-y+x-1=90

now solve for x and y, (I got x=36, y=17 ,L=15, M=75, N= 55, and P=35)

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