What are the values of the variables? i am confused of what i need to do. i'm not sure if i find both x and y, or y or x. should i also equal both of these equations to find the answer?

I know that:

How do I know that? Well, according to the Alternate Interior Angles Theorem, I know that 2x+12 could also go right above 3x+23.

If that is the case, then they would both equal 180° because they would both sit on a straight line. Let's solve:

Now we know what x is equal to. Let's solve for y. I know that:

because they sit on a straight line. Since we have x, this is solvable. Let's plug in our x value and solve.

Your final answers would be:

If you need to find the angles, just plug in these numbers for the variables and solve.