  The issue of the local visibility of the shell-focussing singularity in
marginally bound spherical dust collapse is considered from the point of view
of the existence of future-directed null geodesics with angular momentum which
emanate from the singularity. The initial data (i.e. the initial density
profile) at the onset of collapse is taken to be of class $C^3$. Simple
necessary and sufficient conditions for the existence of a naked singularity
are derived in terms of the data. It is shown that there exist future-directed
non-radial null geodesics emanating from the singularity if and only if there
exist future-directed radial null geodesics emanating from the singularity.
This result can be interpreted as indicating the robustness of previous results
on radial geodesics, with respect to the presence of angular momentum.
