Final answer:
The Sapa Inca used conquering neighboring peoples to build his armies to govern his empire.
Step-by-step explanation:
One of the methods the Sapa Inca used to govern his empire was he conquered neighboring peoples to build his armies. By conquering other peoples, the Sapa Inca expanded his empire and increased his military strength. This allowed him to maintain control and establish dominance over a larger territory. Conquered territories would pay tribute to the Inca Empire and provide resources and soldiers to support the central government.
Learn more about Methods of governing the Inca Empire