The allowed electron energies in the topological insulator were probed with the well-employed angle-resolved photoemission spectroscopy (ARPES). Γ and M space points were found to exhibit binding energies of 0.3 eV and 0.8 eV, respectively. ARPES also probed the Fermi electron velocities along the x and y axes to be 0.1(1)×106 m*s and 0.60(4)×106 m*s. The emerging non-trivial states of the topological insulator are expected to show at the space point where the conductive and valence bands almost cross or, in other words, display the smallest band gap. This point indeed showed a binding energy of 0.06 eV as measured by ARPES. ARPES measurements on a different β-BiBr topological insulator phase show similarity to its iodine counterpart.