What Happened Britain's House of Commons overwhelmingly rejected the Brexit plan offered up by Prime Minister Theresa May on Jan. 15, defeating the agreement that her government had negotiated with the European Union 432 votes to 202. Despite the stinging loss, the most lopsided for a sitting British government in a century, May said she will not resign and promised to hold talks with other parties to find a new plan that the Commons can accept. First, however, she must survive a vote of no-confidence from the opposition Labour Party on Jan. 16. Why It Matters The no-confidence motion represents May's most immediate challenge.