The traditional radio navigation technology does not meet the requirements of high-precision angle measurement, whereas the superior characteristics of entangled quantum signals can break through the technical barriers faced by traditional radio navigation. Therefore, this paper proposes a navigation angle measurement scheme based on hybrid entangled quantum signals prepared by a cavity electro-opto-mechanical converter. According to the theoretical analysis and simulation, compared with traditional angle measurement methods, this scheme makes full use of the entanglement characteristics in discriminating angle measurement signals and thereby effectively differentiates useful signals from irrelevant signals. Its accuracy is better than that of the classic scheme, and it also has a strong anti-interference ability that the classic scheme does not have.