Inspired by the magnificent features of two-dimensional (2D) materials that aroused much of the interest in recent materials science research, we study PT-symmetric 2D-Weyl semimetal (WSM) to reveal the broadband and wide-angle invisible configurations in a PT-symmetric optical slab system. Desired unidirectional reflectionlessness and invisibility phenomena are obtained by the optimal control of system parameters. We unravel the mystery of broadband and wide-angle invisibility in regular slab materials with finite refractive indices by means of the plenary expressions. We show that materials whose refractive indices are relatively small (usually around eta = 1) give rise to quite a lot of broadband and wide-angle (almost all incidence angles) invisible configurations. This is not observed with any 2D material other than 2D WSMs. Our findings suggest concrete expedience to experimental realizations in this direction. Published under license by AIP Publishing.