Both would have to be removed at the same time, but they are on different pathways in the justice system.
However, Pence is under the private system, whereas any indictment for Trump would have to go to the supreme court first.
Pence could just be indicted like a regular citizen and tried in a criminal court.
Trump may or may not have to go through impeachment. Any indictment of Trump would go to the supreme court.
This makes it virtually impossible for them to leave office on the exact same day, even if they committed the same crime.
Additionally there is no evidence regarding Pence. Trump has his big business empire which they are looking at. Pence was not on board until the summer of 2016.
Agnew's indictment had nothing to do with Watergate:
In early 1973, shortly after assuming the role of United States Attorney for the District of Maryland, George Beall opened an investigation of corruption in Baltimore County, involving public officials, architects, engineering firms, and paving contractors.[161] Beall's target was the current political leadership in Baltimore County.[162] There were rumors that Agnew might be involved, which Beall initially discounted; Agnew had not been county executive since December 1966, and any misdeeds done then would be past the statute of limitations. As part of the investigation, Lester Matz's engineering firm was served with a subpoena for documents, and through his counsel he sought immunity in exchange for cooperation in the investigation. Matz had been kicking back to Agnew five percent of the value of contracts received through his influence, first county contracts during his term in Towson, and subsequently state contracts while Agnew was governor.[161][163]
Investigative reporters and Democratic operatives had pursued rumors that Agnew had been corrupt during his years as a Maryland official, but they had not been able to substantiate them.[164] In February 1973, Agnew heard of the investigation and had Attorney General Richard Kleindienst contact Beall.[165] The vice president's personal attorney, George White, visited Beall, who stated that Agnew was not under investigation, and that prosecutors would do their best to protect Agnew's name.[166] In June, Matz's attorney disclosed to Beall that his client could show that Agnew not only had been corrupt, but that payments to him had continued into his vice presidency. These later payments would not be barred by the statute of limitations; Agnew could be prosecuted.[167] On July 3, Beall informed the new Attorney General, Elliot Richardson, and at the end of the month Nixon, through his chief of staff, Alexander Haig, was informed. Agnew had already met with both Nixon and Haig to assert his innocence. On August 1, Beall sent a letter to Agnew's attorney, formally advising that the vice president was under investigation for tax fraud and corruption.[168] Matz was prepared to testify that he had met with Agnew at the White House and given him $10,000 in cash.[169] Another witness, Jerome B. Wolff, head of Maryland's road commission, had extensive documentation that detailed, as Beall put it, "every corrupt payment he participated in with then-Governor Agnew".[161]
Richardson, whom Nixon had ordered to take personal responsibility for the investigation, met with Agnew and his attorneys on August 6 to outline the case, but Agnew denied culpability, saying the selection of Matz's firm had been routine, and the money campaign contributions. The story broke in The Wall Street Journal later that day.[170] Agnew publicly proclaimed his innocence and on August 8 held a press conference at which he called the stories "damned lies".[171] Nixon, at a meeting on August 7, assured Agnew of his complete confidence, but Haig visited Agnew at his office and suggested that if the charges could be sustained, Agnew might want to take action prior to his indictment. By this time, the Watergate investigation that would lead to Nixon's resignation was well advanced, and for the next two months, fresh revelations in each scandal were almost daily fare in the newspapers.[171]
Under increasing pressure to resign, Agnew took the position that a sitting vice president could not be indicted and met with Speaker of the House Carl Albert on September 25, asking for an investigation. He cited as precedent an 1826 House investigation of Vice President John C. Calhoun, who was alleged to have taken improper payments while a cabinet member. Albert, second in line to the presidency under Agnew, responded that it would be improper for the House to act in a matter before the courts.[172] Agnew also filed a motion to block any indictment on the grounds that he had been prejudiced by improper leaks from the Justice Department, and tried to rally public opinion, giving a speech before a friendly audience in Los Angeles asserting his innocence and attacking the prosecution.[173] Nevertheless, Agnew entered into negotiations for a plea bargain, and wrote in his memoirs that he did so because he was worn out from the extended crisis, to protect his family, and because he feared he could not get a fair trial.[174] He made his decision on October 5, and plea negotiations took place over the following days. On October 9, Agnew visited Nixon at the White House and informed the President of his impending resignation.[175]
On October 10, 1973, Agnew appeared before the federal court in Baltimore, and pleaded no contest to one felony charge, tax evasion, for the year 1967. Richardson agreed that there would be no further prosecution of Agnew, and released a 40-page summary of the evidence. Agnew was fined $10,000 and placed on three years' unsupervised probation. At the same time, Agnew submitted a formal letter of resignation to the Secretary of State, Henry Kissinger, and sent a letter to Nixon stating he was resigning in the best interest of the nation. Nixon responded with a letter concurring that the resignation was necessary to avoid a lengthy period of division and uncertainty, and applauding Agnew for his patriotism and dedication to the welfare of the United States. House Minority Leader Gerald Ford, who would be Agnew's successor as vice president (and Nixon's as president) recalled that he heard the news while on the House floor and his first reaction was disbelief, his second sadness.[176]
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