Step 1: Identify STDs.
Both Syphilis and Gonorrhoea are sexually transmitted diseases (STDs).
Step 2: Conclusion.
Therefore, the correct answer is ((C), as both ((A) Syphilis and ((B) Gonorrhoea are STDs.
Final Answer:
\[
\boxed{((C) \; Both ((A) \; and \; ((B)}
\]