D. They are elected by the voters. In Washington state, the Lieutenant Governor and Treasurer are both elected to their positions by voters in statewide elections.
In Washington state, the Lieutenant Governor is the second-ranking official in the state government, and is elected to a four-year term in the same election as the Governor. The Lieutenant Governor serves as the President of the Washington State Senate, and is responsible for presiding over the Senate, casting tie-breaking votes, and performing other duties as assigned by the Governor.
The Treasurer is also elected to a four-year term, but is not part of the executive branch of government. Instead, the Treasurer is responsible for managing the state's finances, including investments and debt management. The Treasurer is also a member of several state boards and commissions, and serves as a key advisor to the Governor on financial matters.
Both the Lieutenant Governor and the Treasurer are elected by the voters of Washington state in statewide elections, which are held every four years. The elections take place on the same day as the elections for Governor, other executive offices, and the state legislature.