Final answer:
The word 'exasperate' originates from the Latin 'exasperare', referring to making something rough, and now means to irritate or annoy greatly.
Step-by-step explanation:
The word exasperate is derived from the Latin word exasperare, which is composed of the prefix ex-, meaning 'out of' or 'thoroughly', and asperare, which means 'to make rough'. Over time, the word came to describe the act of irritating or annoying someone to a high degree. Hence, the correct origin of the word exasperate is C. Latin.