The invention relates to a resilient laminate comprising, in a vertical direction, a stack of at least one nonwoven layer and a ply consisting of a part or integral part attached to the at least one nonwoven layer, in particular by means of an adhesive such as glue, the ply comprising at least one resilient film area and at least one so-called rigid film area made of a material that is less resilient than the material of the resilient area, in particular an area made of a non-resilient material, the ply being produced by the coextrusion of the at least one resilient film and the at least one rigid film, such that an interface is formed therebetween, characterized in that, from a cross-sectional view, the curve or line formed by the interface between the two films comprises at least one first substantially rectilinear segment, and at least one second substantially rectilinear segment which is angled relative to the at least one first segment. The curve or line formed by the interface between the two films extends from a point (P0) on the lower face of the laminate to a point (P1) on the upper face of the laminate, said points being horizontally offset in relation to one another and the diagonal line passing through said two points being inclined in relation to the vertical to the laminate.