In a gas turbine having a chordal hinge seal between an inner rail of each nozzle segment and an annular axially facing sealing surface of a nozzle support ring, a supplemental seal is disposed between the support ring and inner rail of the nozzle segment on a high pressure side of the chordal hinge seal. The supplemental seal includes a pair of sheet metal shims overlaid by a woven metallic cloth. A bracket and a portion of the supplemental seal are received in a groove along a radial inward facing surface of the inner rail. The projecting margin of the cloth seal bears against the annular sealing surface of the nozzle support ring. The shims of the distal margin of the supplemental seal are slit and staggered in a chord-wise direction relative to one another to provide flexibility and effective sealing engagement with the nozzle support ring.