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The .NET framework itself does not (currently) have official support for ZIP files. There are a couple of high-quality third-party free libraries available, and the J# runtime supports it, as others have noted.
I recommend the third-party solution, but if you absolutely can't do that, then there is one other trick: ZipPackage, which is part of WPF. It sort-of supports ZIP files (augmented with extra metadata), and works well enough for reading most ZIP files.