Let angle $\alpha, \beta$ and $\gamma$ be as shown in $\triangle ABC$ below:[asy] size(350); import olympiad; pair A, B, C, D, EE; A = (0,0); B = (sqrt(29), 0); D= intersectionpoints(Circle(A, 2), Circle((A+B)/2, sqrt(29)/2))[0]; EE = D + unit(D-B); C = D + 3unit(D-B); draw(A--B--D--cycle); draw(A--EE--D); draw(A--C--EE); draw(rightanglemark(A, D, EE,5)); label("$\alpha$", A + 0.25(unit(B-A) + unit(D-A))); label("$\beta$", A + 0.25*(unit(EE-A) + unit(D-A))); label("$\gamma$", A + 0.25*(unit(EE-A) + unit(C-A))); dot("$A$", A, S); dot("$B$", B, S); dot("$D$", D, NE); dot("$E$", EE, NE); dot("$C$", C, N); label("$2$", 2/5A + 3/5D, ESE); label("$5$", B--D, NE); label("$1$", EE--D, NE); label("$2$", EE--C, NE); [/asy]What are