<p>This study applies angle−rigidity principles and Type−I sequences to improve localization in wireless sensor networks by reducing redundant angle measurements and integrating simulated annealing for optimization. It examines the sufficient condition for global angle rigidity as proposed in previous research, which involves obtaining global angle rigidity through a sequence of Type−I vertex additions from a generically rigid 3−vertex angularity. The research emphasizes the efficacy of angle−based localization strategies in wireless sensor networks, highlighting their precision and resilience advantages compared to other approaches. By providing theoretical and practical insights, this study contributes to advancing the discourse on wireless sensor network localization and informing future research directions towards more sophisticated localization algorithms within the framework of angle rigidity. We employ computational simulations to demonstrate the practical applications of the Type−I angle rigidity model, while simulated annealing further validates the robustness of these methods and their ability to enhance the localization accuracy and reliability in wireless sensor network deployments^.</p>