Variable angle locking implant

A variable angle locking implant includes a bone plate having a lower surface, an upper surface, and at least one opening extending from the lower surface to the upper surface along an axis. The opening has a plurality of fins oriented along a plane. The axis is non-perpendicular to a tangent of a projection of the lower surface across the opening, the tangent defined at the intersection between the axis and the projected lower surface, and/or the plane is non-parallel to the tangent. The implant includes at least one fastener, and the plurality of fins are deflectable relative to a head portion of the fastener such that the fastener can be inserted and retained at any one of a plurality of angles.