Final answer:
The British colony of India gained independence after World War II, which set a precedent and encouraged other colonies, including those in Africa, to seek independence.
Step-by-step explanation:
The British colony that gained independence after World War II and encouraged Africans to push for their own independence was C. India. After World War II, India's pursuit of independence intensified. Significant anti-British protests occurred throughout the year 1946, and the British, worn out from the war, recognized their waning ability to sustain control over their colony. Further pressure came from the United States, which, after WWII, had encouraged decolonization. Consequently, in 1947, India was granted independence, stirring a wave of decolonization movements in Africa. Ghana became the first Sub-Saharan country to gain independence in 1957, which signaled a wave of decolonization that swept across Africa, prompting other British colonies in the continent such as Kenya to seek and eventually gain their independence.