In the period from 1750 to 1850, which of the following political ideologies was gaining increasing influence in western Europe and parts of the Atlantic world?

Liberalism

Explanation:

Between the period from 1750 to 1850, the political ideologies that were gaining increasing influence in western Europe and parts of the Atlantic world are LIBERALISM.

This is evident in the fact that it was during this period the work of the likes of John Locke and Montesquieu became popular in western Europe such as England, France, and parts of the Atlantic world such as the United States.

This idea of liberalism helps to limit the power of the monarchy and uphold the power of parliament.