The ideology that gained popularity throughout Latin America in the 19th century was Liberalism.
When the French Revolution happened, people in Latin America looked on with excitement because they realized that they could overthrow their Spanish rulers as well.
With the invasion of Spain by Napoleon, a wave of liberalism spread across Latin America as many began to actively call for independence such that various wars were fought until most of Latin America became free.
Find out more on Latin America at https://brainly.com/question/638929.
