Answer: A. False
Step-by-step explanation:
Venezuela was the first South American state to declare independence from the Spanish in 1811. What followed was a series of wars that ended in 1821 with the defeat of the Spanish at the second Battle of Carabobo.
The Battle of Ayacucho took place in December 1924 not in June and while it helped Venezuela maintain their independence, it was not the battle that gave it to them.