A man faces north. He turns 90 degrees clockwise and then 135 degrees anticlockwise. Which direction is he facing now?

Treat clockwise turns as positive and anticlockwise turns as negative, add them up, and apply the net turn to the starting direction. Use a compass with eight points: each step between neighbouring points (N, NE, E, SE, S, SW, W, NW) is 45 degrees.

Question: Facing north. 90 degrees clockwise, then 135 degrees anticlockwise.

1. Net = +90 - 135 = -45 degrees, that is 45 degrees anticlockwise.
2. From north, 45 degrees anticlockwise = north-west.

Step-by-step check: north + 90 clockwise = east. East - 135 anticlockwise: east to north (90), then 45 more to north-west.

Bearings view (clockwise from north): 0 + 90 - 135 = -45, which is 315 degrees, north-west.

const dirs = ["N", "NE", "E", "SE", "S", "SW", "W", "NW"];
const bearing = (((0 + 90 - 135) % 360) + 360) % 360;
console.log(bearing); // Output: 315
console.log(dirs[bearing / 45]); // Output: NW

• Turning in the wrong direction for 'anticlockwise'.
• Not reducing a negative bearing to the 0 to 360 range.