State of the art high-performance materials, like titanium alloy or nickel-base alloy, are used in high stressed applications. Still, conventional machining is struggling to machine these materials cost-efficiently due to high costs and wear of tools. Trimming, a multilevel near-net-shape pre-contouring with multistage abrasive water injector jet cutting (AWIJC), could solve these problems. While machining three-dimensional components, process parameters such as jet impact angle α, cutting length ld and standoff distance s may change continuously. Especially acute impact angles α were not investigated in the past and are a major question for the workpiece angle γ. Experiments were carried out with stainless steel plates of the type X5CrNi18 (EN 1.4301), while varying the jet impact angle α and the feed speed vf within three levels. To realize comparability, the thickness of the plates was adjusted to the jet impact angle α to achieve a constant cutting depth ld of 40 mm. The resulting workpiece angle γ was measured, and a prediction model based on regression analysis was established. An influence of the jet impact angle α and feed speed vf on the workpiece angle γ was detected, especially for very small angles. Furthermore, the model was used for predicting the workpiece angle γ for Ti6Al4V and Inconel 718, which are commonly used high-performance alloys. The predicted values fit the measured workpiece angle γ appropriately. The investigations offer fundamental knowledge for water jet cutting with small impact angles α, which is essential for water jet trimming.