There are two energy scales that govern the phase diagram of the High T_c cuprates, the superconducting temperature- T_c, and the pseudogap temperature- T^*. The doping affects both energy scales and makes it difficult to identify the role each of them play in determining the low-temperature gap shape. In our work, we use Zn-substitution to, effectively, separate the energy scales. The Zn atoms replaces Cu in the planes, and reduces T_c, while T^* stays unchanged. We used high resolution ARPES to measure the momentum-dependent gap-shape in a series of optimally doped Zn-Bi2212 samples, with different Zn levels. We noticed no change in the gap shape, although T_c is changed by about 20%. Our results indicate that T_c plays no role in the determination of the gap-shape at low temperatures.