"I hope we will be able to have a frank and open relationship and dialogue," May said.
"[Ministers] say they don't even know the right questions to ask when they finally begin bargaining with Europe."
"Clearly if we stopped making contributions to the European Union there will be money available to be invested in our own economy...
Nigel Farage, the outgoing leader of the anti-EU UK Independence Party, said the list contained "too many rewards for failure...
Critics of the "Leave" campaign say its focus on immigration helped stoke xenophobia and racism, an accusation its leaders reject.
"I want to get the best possible deal for the whole of the United Kingdom."
The United States congratulated May and said it was confident in her ability to steer Britain through the Brexit negotiations.
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