Triangle problem

[Fool]

Hello all, I have been trying to do this for some time, so far without any results in helping me find the unknowns.
Could anyone give me advice on this problem, sorry about the MS paint.

 

[Fool]

Please "redraw" your diagram: it is standard for capitals to identify vertices,
and smaller case to identify lengths; like this:

           B    a    C

             y
              
      d        E
                      b
           
       f          x

D
            e          
                     A

Label angleBDE = u, angle ADE=v : easier to "type" and handle within equations.

From your diagram, it appears (from the "dots") that angleACB = angleBED = angleAED;
please CONFIRM. If so, then those 3 angles are each equal to 90 degrees.

Question (to see where you're at):
if angleACB = 90, is this correct: a^2 + b^2 = (x + y)^2 ?

Woops, did not really know about the vertex and side rule there.
And yes, you are correct about what you said before.
Also I thought the little circle thing with dot in it was universal for 90 degrees, guess I was wrong.