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In a deep pot or a wok, heat oil until it registers 350 degrees.
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While wontons are chilling and oil is heating, place vinegar, soy sauce, sugar, ginger, and garlic in a small pot and bring to a boil, stirring to dissolve the sugar. Once sauce reaches a boil, lower to medium heat (still maintaining a rolling boil, but mixture shouldn’t come close to boiling over) and continue to cook for 15 minutes to reduce sauce. Remove from heat and cover to keep warm.
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Remove baking sheet from fridge. Place a cooling wrack on a different baking sheet and line with paper towels; position near pot of oil.
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Once oil registers 350 degrees, carefully drop in 3 rangoons at a time. Fry for 40-50 seconds, or until edges are golden brown and the rangoons lose their raw look. The overall tone will be a light-medium golden brown except for the edges. Remove using a slotted spoon and place on prepared baking sheet. Repeat with remaining rangoons, cooking just 3 at a time. Adjust heat accordingly if rangoons are browning too fast or too slow.