Check the picture below.
since we know the triangle EBD is an isosceles, that means that BE = BD, and twin sides will yield twin angles, so the ∡EBD is simply the difference of 180 - 57 - 57, as far as ∡ABC, well, that's just 19 + 66 + 19. ∡DBC is 19° because both triangles on left and right are congruent.