Step 1: Start at office, facing East. Travel 10 km East.
Step 2: Take a right turn (90° clockwise from East = South). Travel 2 km South.
Step 3: Take a 45° turn in clockwise direction from current direction. Current direction is South. 45° clockwise from South = South-West direction. Travel 3 km in South-West direction.
Step 4: Therefore, his final direction of travel is South-West.