Using angular position-orbital angular momentum entangled photons, we propose\nan experiment to generate maximally entangled states of $D$-dimensional quantum\nsystems, the so called qudits, by exploiting correlations of parametric\ndown-converted photons. Angular diffraction masks containing $N$-slits in the\narms of each twin photon define a qudit space of dimension $N^2$, spanned by\nthe alternative pathways of the photons. Due to phase-matching conditions, the\ntwin photons will pass only by symmetrically opposite angular slits, generating\nmaximally entangled states between these different paths, which can be detected\nby high-order two-photon interference fringes via coincidence counts. Numerical\nresults for $N$ angular slits with $N = 2, 4, 5, 6, 10$ are reported,\ncorresponding to qudit Hilbert spaces of dimension $D=N^2=4,16,25, 36,100$,\nrespectively. We discuss relevant experimental parameters for an experimental\nimplementation of the proposed scheme using Spatial Light Modulators (SLMs),\nand twin-photons produced by Spontaneouos Parametric Down Conversion (SPDC).\nThe entanglement of the qudit state can be quantified in terms of the\nConcurrence, which can be expressed in terms of the visibility of the\ninterference fringes, or by using Entanglement Witnesses. These results provide\nan additional means for preparing entangled quantum states in high-dimensions,\na fundamental resource for quantum simulation and quantum information\nprotocols.\n