A fiber preform is formed by a fiber structure woven by three-dimensional weaving with a plurality of layers of warp yarns interlinked by weft yarns of a plurality of layers of weft yarns, the fiber preform having a first portion and a second portion that extend one another in the weft direction and that are at an angle to each other. In the fold zone and in each weft plane of the fiber structure, two weft yarns situated in a region adjacent to an outside face of the fiber structure situated on the inside of the corner present paths that cross, so that less curvature is imposed on these yarns.