Question

the structure of state governments are determined by
under the us constitution, all state governments are

Explanation:

The first blank (for "The structure of state governments are determined by") is typically filled with "their own state constitutions" (since states have their own constitutions that outline their government structure, though the US Constitution also sets some basic requirements). The second blank (for "Under the US Constitution, all state governments are") is often filled with "republics" (as the US Constitution requires states to have a republican form of government). However, if this is a fill - in - the - blank with specific options (not shown here), we assume the standard US government and state government structure knowledge. For the first part, state governments' structures are mainly determined by their state constitutions (with the US Constitution having the "republican form of government" requirement). For the second part, under the US Constitution, all state governments are required to have a republican form of government (so "republics" is a common answer), and their structure is determined by their state constitutions (with the US Constitution setting the baseline of a republican form).

Answer:

First blank: their own state constitutions (or state constitutions)
Second blank: republics (or required to be republics)