The superconducting transition temperature $T_c$ at ${\text{KTaO}}_3$-based oxide interfaces exhibits a dramatic dependence on crystallographic orientation, yet a unifying mechanism remains elusive. Here, we report a linear scaling between $T_c$ and a single geometric parameter—the angle $\theta$ between the ($hkl$) plane and the (100) plane—across ten different orientations of amorphous-${\text{LaAlO}}_3/{\text{KTaO}}_3$ interfaces. Except for (100), all orientations exhibit two-dimensional superconductivity, with transition temperatures $T_c$ ranging from $\sim 0.12$ to 2.1 K. This linear $\theta -T_c$ scaling is robust against variations in growth temperature, device geometry, and transport configuration. By establishing the geometric orientation angle as a robust empirical scaling parameter for the superconducting transition, our results set a critical phenomenological benchmark for future microscopic theories of superconductivity in ${\text{KTaO}}_3$-based systems.

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• Superconductivity
• Interfaces
• Unconventional superconductors