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A sealing system for a gas turbine engine includes an arcuate first ladder seal segment having a central portion, an upstream flange adjoining the central portion, a downstream flange adjoining the central portion opposite the upstream flange, and a plurality of openings. The upstream flange is arra

A sealing system for a gas turbine engine includes an arcuate first ladder seal segment having a central portion, an upstream flange adjoining the central portion, a downstream flange adjoining the central portion opposite the upstream flange, and a plurality of openings. The upstream flange is arranged at an angle θU greater than 0° and less than 90° relative to a given tangential plane, and the downstream flange is arranged at an angle θD greater than 0° and less than 90° relative to the given tangential plane.

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1. A sealing system for a gas turbine engine, the system comprising: an arcuate first ladder seal segment that includes: a central portion;an upstream flange adjoining the central portion and defining an upstream edge of the segment that is angled radially outward relative to an arc radius of the ar

1. A sealing system for a gas turbine engine, the system comprising: an arcuate first ladder seal segment that includes: a central portion;an upstream flange adjoining the central portion and defining an upstream edge of the segment that is angled radially outward relative to an arc radius of the arcuate first ladder segment, wherein in an uninstalled state the upstream flange is arranged at an angle θu greater than 0° and less than 90° relative to a given tangential plane; anda downstream flange adjoining the central portion opposite the upstream flange and defining a downstream edge of the segment that is angled radially outward relative to the arc radius of the arcuate first ladder segment, wherein in the uninstalled state the downstream flange is arranged at an angle θD greater than 0° and less than 90° relative to the given tangential plane; anda plurality of openings. 2. The system of claim 1, wherein the upstream flange has a width DU and the downstream flange has a width DD, and wherein the width DU is not equal to the width DD. 3. The system of claim 1, wherein the upstream flange has a width DU and the downstream flange has a width DD, and wherein the width DU is greater than the width DD. 4. The system of claim 1, wherein the angle θU is in the range of approximately 11.7° to 19.1°, and wherein the angle θD is in the range of approximately 11.3° to 18.5°. 5. The system of claim 1, wherein the angle θU is approximately 15°. 6. The system of claim 1, wherein the angle θD is approximately 15°. 7. The system of claim 1 and further comprising: an arcuate second ladder seal segment, wherein the first and second ladder seal segments are each approximately 180° segments. 8. The system of claim 1 and further comprising: an airfoil having a platform located adjacent to the ladder seal segment, the platform defining an upstream angled portion and a downstream angled portion, wherein the upstream angled portion is arranged at the angle θU, and wherein the downstream angled portion is arranged at the angle θD. 9. The system of claim 1 and further comprising: an airfoil having a platform located adjacent to the ladder seal segment, and a root; anda disk having an outer rim and a slot in which the root of the airfoil is retained, wherein the first ladder seal segment is positioned between the outer rim and the platform with the root extending through one of the plurality of openings. 10. The system of claim 9, wherein the platform includes a notch and the disk includes a circumferential ridge at the outer rim, and wherein ridge extends radially into the notch. 11. The system of claim 1, wherein the ladder seal is flexible. 12. The system of claim 1, wherein the plurality of openings each extend through at least portions of the central portion, the upstream flange, and the downstream flange. 13. The system of claim 1, wherein the central portion has a flat configuration in cross-sectional profile, and wherein the upstream and downstream flanges each have a generally frusto-conical shape. 14. A sealing system for a gas turbine engine, the system comprising: an arcuate first ladder seal segment that includes: a central portion;an upstream flange adjoining the central portion, wherein the upstream flange is arranged at an angle θU greater than 0° and less than 90° relative to a given tangential plane; anda downstream flange adjoining the central portion opposite the upstream flange, wherein the downstream flange is arranged at an angle θD greater than 0° and less than 90° relative to the given tangential plane; anda plurality of openings, wherein the plurality of openings include a dumbbell-shaped opening. 15. A sealing system for a gas turbine engine, the system comprising: an airfoil having a platform and a root;a mounting disk having an outer rim and a slot in which the root of the airfoil is retained; andan arcuate first ladder seal segment positioned between the outer rim of the disk and the platform of the airfoil, the first ladder seal segment including: a central portion;wherein a positive angle value for an angle θU or θD is relative to an arc radius of the arcuate first ladder segment; andan upstream flange adjoining the central portion, wherein the upstream flange has a width DU, wherein the upstream flange is arranged at an angle θU greater than 0° and less than 90° relative to a given tangential plane in an uninstalled state; anda downstream flange adjoining the central portion opposite the upstream flange, wherein the downstream flange has a width DD, and wherein the width DU is not equal to the width DD, wherein the downstream flange is arranged at an angle θD greater than 0° and less than 90° relative to the given tangential plane in the uninstalled state; anda plurality of openings. 16. The system of claim 15, wherein the angle θU is in the range of approximately 11.7° to 19.1°, and wherein the angle θD is in the range of approximately 11.3° to 18.5°. 17. The system of claim 15, wherein the plurality of openings each extend through at least portions of the central portion, the upstream flange, and the downstream flange. 18. The system of claim 15, wherein the plurality of openings include a dumbbell-shaped opening. 19. The system of claim 15 and further comprising: a wire seal positioned along a radially inner surface of at least one of the upstream and downstream flanges.