Population distributions and measurements of misalignment in the plane of the sky between the megamaser disk projected semi-major axes and the jet direction (ΔPA). The teal histogram refers to centroid counts from observed data in Greene et al. (2013). The statistical analysis is performed approximating a truncated normal distribution each ΔPA observation, as described in Sect. 2.3. The colored lines denote population distributions for a few choices of Θ_max, for the edge-on model. For reference, the dashed black line denotes the Θ_max = 180° model. An absence of measurements below ∼40° constrain the population posterior in Fig. 3 to be above 41° at 95% confidence. Similarly, the majority of observations corresponding to ΔPA ≳70° constrain the posterior below 68° at 95% confidence.