# Thread: Basic word problem I can't set up.

1. ## Basic word problem I can't set up.

Two angles are supplementary. One angle is 24 degrees more than twice the other. Using two variables x and y, find the measure of each angle.

Okay, so supplementary = 180 degrees.

x + y = 180 degrees.

One angle is 24 degrees more than twice the other. (I don't quite understand this part)

x+24 + 2y = 180?

angles come up to be 128 and 52 degrees. I don't think I am structuring it properly.

2. ## Re: Basic word problem I can't set up.

Okay, so I believe I have the answer.

x + y = 180 degrees

x + 24 + 2y = 180

//isolate one variable

x = -24 + 2y + 180 // I moved everything to the right side of x

// I substitute -24 + 2y + 180 for x

(-24 + 2y + y) + 180 = 0 // Wouldn't it be -24 + 2y + y + 180 = 180. Though it wouldn't give me the correct answer.

//combine like terms

3y + 156 = 0

3y / 3 = -156 / 3

y = -52 // I don't know why I got a negative. I might need help getting this clarified.

//So I just plug 52 back into y

x + 52 = 180
x = 128

3. ## Re: Basic word problem I can't set up.

Here we have: x + y = 180 -------- (1) Also we have
X = 2y + 24 ----- (2)
Plugging in for x from (2) in (1) we get
2y + 24 + y = 180 that is 3y = 154 and y = 52 that will give x = 128