Apparatus and methods for tissue fixation using a bone plate configured to accommodate fixation devices (such as screws, for example) inserted at various angles. The bone plate is formed of a material softer than the material of the fixation devices, and is provided with fixation holes with rounded, curved interior walls (i.e., non-threaded holes) that allow the fixation devices to be inserted at various angles. The fixation holes have a diameter smaller than that of the fixation devices. As a result of the difference between the materials of the plate and of fixation devices, and of the difference between the diameters of the fixation holes and of the fixation devices, the fixation devices deform the interior walls of the fixation holes, therefore self-threading the holes at an advantageous angle.