A man faces West, turns 45° clockwise, then 180° clockwise, and finally 270° anti-clockwise. Which direction is he facing now?

Introduction / Context:This is the same cumulative-rotation style as earlier, but with a different wording. We will compute a net heading by adding/subtracting signed turns and mapping to compass points.

Given Data / Assumptions:

• Initial facing: West (take as 180°).
• Clockwise turns: +45° and +180°.
• Anti-clockwise turn: −270°.

Concept / Approach:Angle arithmetic with normalization into [0°, 360°). Then identify quadrant and standard bearing names.

Step-by-Step Solution:Start: 180°.After +45° → 225°.After +180° → 405° → 45° after modulo 360.After −270° → 45° − 270° = −225° → +360° = 135°.135° lies between South (90°) and West (180°): South-West.

Verification / Alternative check:Total rotation = +45 + 180 − 270 = −45°. From West (180°), −45° → 135° = South-West. Same outcome.

Why Other Options Are Wrong:West (180°), South (90°), North-West (~315°) do not match the computed 135° final bearing.

Common Pitfalls:Omitting angle wraparound or confusing the sign of anti-clockwise rotation.

Final Answer:South - West