Step 1: Understanding the initial position
The man starts facing West.
Step 2: First move
The man runs 45° in the clockwise direction.
From West, 45° clockwise will bring him to North-West.
Step 3: Second move
He then runs 180° in the same direction.
From North-West, 180° clockwise brings him to South-East.
Step 4: Third move
The man then runs 270° in the anticlockwise direction.
From South-East, 270° anticlockwise brings him to South-West.
Step 5: Conclusion
After these moves, the man is facing South-West.
Final Answer: The man is facing (d) South-West.