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A principal factor in sensor network design is energy efficiency. In this work, we propose to extend the lifetime of sensor networks using appropriate choice of sensor node distribution. The key idea of our scheme is to deploy more nodes in areas of extensive energy usage. Using this scheme of sensor node distribution, we use probabilistic angular routing to route data packets from the sensor nodes to a sink. This scheme makes use of link usage probabilities to route data packets to immediate neighbors. It also incorporates angular routing which forwards packets only to neighboring sensor nodes present in assigned conical regions to prevent unnecessarily lengthy routes.