I'm not quite sure what you are trying to find but I will do the steps to find all of these angles.
To start, angles wvu, vuw, and uwv all add up to = 180 degrees. Angles vuw and vus also add up to 180 degrees. Since they both equal the same thing, we can set them equal to each other (wvu+vuw+uwv=vuw+vus). Now we can plug in the stuff we know to get (43)+(9x-6)+(vuw)=(vuw)+(15x-5). The vuw gets cancelled out leaving 43+9x-6=15x-5. This solves to get x=7.
Plug in that for any of those angles you need except for angle vuw. That one needs the equation 180=15(7)-5+vuw. vuw=80 degrees