The paper discusses the best or optimal uniform approximation problem by entire functions on a closed angle Δ. This problem has been studied by M.V. Keldysch in [4], under the assumption that the functions ƒ subject to approximation are holomorphic in a larger angle containing Δ and there is no restriction on the growth of ƒ at infinity. In [8], the problem was investigated for a wider class of functions ƒ continuously complex differentiable on Δ, with sharper estimates on the growth of approximating entire functions, linked with the growth of ƒ on Δ and the differential properties of ƒ on the boundary of Δ. In this paper, we improve some of the results on entire approximation on angles, using new approximation ideas partially presented in [9] and [10].