In this talk, we study the well-posedness of degenerate It\^{o}-SDEs in Euclidean space for $d \geq 2$ with possibly discontinuous diffusion coefficients. Building on recent analytic results on the construction of semigroups associated with degenerate partial differential operators, we also obtain a pointwise analysis of the corresponding degenerate It\^{o}-SDEs for every starting point. Our main result is weak well-posedness, namely weak existence and uniqueness in law, for every starting point within the class of solutions that spend zero time on the degeneracy set of the diffusion coefficient. The proof relies on semigroup methods together with elliptic and parabolic regularity theory, and Krylov type estimates.