Thread: Addition and Subtraction Properties

I have this one problem that I need help on, can anyone help me??

Given: Angle A is comp. to Angle B
Angle C is comp. to Angle B
Angle A = (3x + y)
Angle B = (x + 4y + 2)
Angle C = (3y - 3)


Find: Angle B


Please explain...
I need some help with this one, I do not understand it...
HELP!!!

Let's set up a system of Equations:

We know
and that which tells us that A and C are congruent.

Now let's substitute: and simplify to
And for our second equation and simplify this to

Now to get x by itself and let's plug it into the first equation simplify and now we get and

Now just put y into the original equation and get . So now we have

Put the values back into the original problems to see if they are true and you are done.