The emergence of flat bands in twisted bilayer graphene at the so-called magic angle reveals a range of intriguing phases, such as superconductivity and Mott insulating states, resulting from electrons entering a correlated state. This establishes twisted bilayer graphene as an excellent platform for exploring correlation effects in many-body phases and across various twist angles. However, in most cases, the twist angle is not an easy parameter to control because it exhibits structural instabilities such as relaxation and reconstruction that reduce the correlation effects. Here, we report the unexpected appearance of a flat band at the M point far from the Fermi level in a 2.4° twisted bilayer graphene, directly visualized by angle-resolved photoemission spectroscopy. Our work is the first observation of flat bands away from the K point in twisted bilayer graphene and highlights the need to probe the entire Brillouin zone to fully capture electronic states in twisted structures.