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After their defeat at Yorktown the British decided they had to negotiate a peace agreement because

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Answer:

The 1781 U.S. victory at the Battle of Yorktown surrounded the British and pinned them from all sides so they had no choice but to surrender. Some of them did it for their families and they had run out of food, supplies, and ammunition. So they decided that it was hopeless fighting and wasting their lives while it was impossible to defeat the Americans and surrendered.

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