Britain's Prime Minister Theresa May leaves Downing Street in London, Britain, July 10, 2018.
On Monday, May defended Friday's deal, which would allow for some ties between Britain and the EU.
As the threat of a leadership contest looms for Theresa May following the sudden resignation of Brexit Secretary David Davis, political commentators and MPs have reacted differently to the new blow to the Tory government. Only 48 Conservative Members of Parliament (MPs) - or 15 percent of the party - are needed to trigger a vote of no confidence in May.
May's office said in a terse statement that the prime minister had accepted Johnson's resignation and would name a replacement soon.
But Mrs May hit back in her icy letter accepting his resignation - effectively accusing him of signing up to the Chequers plan before walking away.
Davis's sudden resignation on Sunday evening was much debated and discussed on Twitter the following morning.
Brexit Secretary David Davis dramatically resigned late last night, sparking a Brexiteer rebellion over Theresa May's plan to make a soft exit from the European Union - leaving the Prime Minister fighting for her political life.
In his resignation letter, Johnson wrote: "Brexit should be about opportunity and hope". He said "the Brexit dream is dying, suffocated by needless self doubt". The tousle-headed blond Johnson is one of Britain's best-known politicians, and one of the most prominent advocates for Brexit.
"I've listened to every possible idea and every possible version of Brexit".
Some Conservative Party lawmakers warned they would not tolerate a betrayal of Brexit.
The PM said that after months of offering ministers "considerable latitude to express their individual views" she is now imposing order on her Cabinet who must back the Government line.
Theresa May's cabinet is struggling.
While other senior ministers rallied round her after the resignations which left Westminster reeling on Monday, rumblings of discontent among rank and file lawmakers remained.
"Now there is chaos", the paper said in its editorial.
In a pointed message, the President of the European Council Donald Tusk appeared to suggest that the resignations could spell the end for Brexit. "Brexit must and will happen".
The major issues for Britons were concerns about immigration, sovereignty and the sums paid to the EU.
One other element of Friday's agreement worth noting is that it pledged to speed up preparations for the United Kingdom to be ready to leave the European Union without a Brexit deal in March next year.
"What the prime minister is proposing is a way in which we can ensure we don't have. friction with our trade with the European Union. and here is a practical way in which we can do that", Gauke said.
The man leading the UK's negotiating team, David Davis, resigned late on Sunday night, saying that he did not agree with the UK's proposals, so was the wrong person to be going into negotiations with them.
She said: 'I am sorry - and a little surprised - to receive it [resignation letter] after the productive discussions we had at Chequers on Friday, and the comprehensive and detailed proposal which we agreed as a Cabinet'.
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