Final answer:
The speech given by governors equivalent to the president's State of the Union is termed the State of the State address, where governors discuss past achievements and future priorities.
Step-by-step explanation:
The speech that governors give to update residents on the previous year's affairs, analogous to the president's effort in the State of the Union, is called the State of the State address. In this address, governors discuss the state's economic and political achievements, support their accomplishments with data, and set out their legislative agenda for the coming year. Like the president, governors use this platform to signal their policy priorities to state legislators, and those from the same party often collaborate to achieve these aims.