Take Silver Line from Wiehle-Reston East to Stadium-Armory, transfer to Orange Line to New Carrollton. Get off at New Carrollton then proceed to Amtrak station. There should be a train to/through Annapolis.
You can get on the Silver Line at Wiehle Reston. I don't know if you can get to Annapolis by rail, Amtrak might get you close though.
Sorry. Don't think anything is close by that area. Call metro and ask. Might be the last stop on the orange line
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