Final answer:
T-lymphocytes recognize antigens by binding to the complex of degraded antigen and MHC presented on the surface of APCs, leading to T cell activation.
Step-by-step explanation:
T-lymphocytes recognize antigens by binding to degraded antigen presented by Antigen-Presenting Cells (APCs) in the context of Major Histocompatibility Complex (MHC). This process involves the internalization, processing, and display of antigen fragments in association with MHC molecules on the surface of cells such as macrophages, dendritic cells, and B cells, which function as APCs. During this antigen presentation, T cells with the corresponding receptors can then interact with the antigen-MHC complex, leading to their activation and the adaptive immune response.