Final answer:
The measure taken by radical French revolutionaries that provoked insurrections in the Americas was the abrogation of feudal privileges.
Step-by-step explanation:
The measure taken by radical French revolutionaries that provoked insurrections in the Americas was d) The abrogation of feudal privileges. This measure disrupted the traditional social hierarchy, challenging the privileges of the aristocracy and clergy. The French Revolution sparked ideas of equality and revolution in the Americas, particularly in French colonies like Haiti.