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)

## Answer This Question

## Related Questions

- Geometry Check please - Is the following definition of complementary angles ...
- math - < = Angle <R and <S are complementary angles, and <U and <...
- Geometry - Please help! I am so lost! The question is "R and S are ...
- Math - Which of the following correctly lists angle pairs that have the same ...
- Math - The measure of two complementary angles are 6y+3 and 4y-13. Find the ...
- Story problem heellp - The difference of two complementary angles is 18. What is...
- math - Two angles are complementary. One contains 30° more than the other. Find ...
- Math - Two parallel lines cut by a transversal can create all the following ...
- math - The ratio of measures of two complementary angles is 4 to 5. The smallest...
- math - angle R & angle S are complementary angles..and angle U & and angle V are...

More Related Questions