A non-monarchical state can best be described as a

A non-monarchical state can best be described as a republic. A republic is a form of government in which the head of state is usually an elected president, rather than a hereditary monarch. In a republic, the people have a say in who governs them, either through direct democracy or by electing representatives to make decisions on their behalf. In contrast, a monarchical state is one in which the head of state is a monarch, such as a king, queen, or emperor, who inherits the position from their family. Therefore, a non-monarchical state, which is a state that does not have a monarch as its head of state, is best described as a republic.