How are the offices of legislative branch both US and Texas usually filled?

In both the United States and Texas, the offices of the legislative branch are usually filled through elections.

In the United States, members of the House of Representatives are elected every two years, while members of the Senate are elected every six years. Senators are elected from each state, while Representatives are elected from districts within each state. The number of Representatives each state gets is based on its population.

In Texas, members of the Texas House of Representatives are elected every two years, while members of the Texas Senate are elected every four years. Senators are elected from districts within the state, while Representatives are elected from counties or multiple counties.

In both the United States and Texas, voters can choose to vote for candidates from a variety of political parties, including the Democratic Party, the Republican Party, and various third parties.