Lt. Gov. Burt Jones lost the Republican runoff for governor to the health care executive Rick Jackson despite the president’s endorsement. Mr. Trump’s picks won in other races.

© Nicole Craine for The New York Times

Gov. Wes Moore, a Democrat, has begun running ads on Fox News that promote Dan Cox, a Republican running in a contested primary to challenge him.

© Steve Ruark/Associated Press

A combination of term-limits, retirements, aspirations for higher office and one high-profile presidential appointment have triggered a wave of open seats in Oklahoma's state primary on Tuesday.

Georgia Republicans will finalize their picks in marquee races for U.S. Senate and governor in a state primary runoff election on Tuesday.

The top race of the day is in Georgia, where Republican voters will pick a nominee to challenge Senator Jon Ossoff, a Democrat.

© Audra Melton for The New York Times, David Walter Banks for The New York Times