If North becomes South-West, then what will West become?

Key idea: Treat the eight compass directions as positions spaced by 45° and apply the same rotation to every direction. Label the eight directions as positions 0 to 7: North (0), North‑East (1), East (2), South‑East (3), South (4), South‑West (5), West (6), North‑West (7).

Find the rotation: North (0) → South‑West (5), so every direction is shifted by +5 positions (which is 5 × 45° = 225° clockwise).

Apply to West: West is position 6. 6 + 5 = 11. Take modulo 8: 11 mod 8 = 3, which is South‑East.

Alternate angle method: West is 270°. Add 225° → 495°. Subtract 360° → 135°, which corresponds to South‑East.

Answer: West becomes South‑East