A man is facing south. He turns 135° in the anticlockwise direction and then 180° in the clockwise direction. The direction he is facing now is—

To determine the final direction, we calculate the net rotation from the starting position. The man begins facing South. He first turns 135° in the anticlockwise direction. In a standard compass, South is at 180° (if North is 0°). An anticlockwise turn of 135° from South moves him to the North-East direction. Next, he turns 180° in the clockwise direction. A 180° turn, whether clockwise or anticlockwise, always results in facing the exactly opposite direction. The direction opposite to North-East is South-West. Alternatively, calculating the net change: 180° (clockwise) - 135° (anticlockwise) = 45° clockwise. A 45° clockwise turn from the initial South position results in South-West. Therefore, the man is now facing South-West.