Rekha faces towards North, then turns to her right and walks 20 meters. She then turns to her left and walks 30 meters. Next she moves 20 meters to…

Starting position: Facing North

Turn right → Now facing East

Walk 20 meters → Position: 20 m East

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Currently facing East

Turn left → Now facing North

Walk 30 meters → Position: 20 m East, 30 m North

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Currently facing North

Move 20 meters to the right (East direction) → Position: 40 m East, 30 m North

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Currently facing North

Turn right → Now facing East

Turn right again → Now facing South

Walk 55 meters → Position: 40 m East, 30 - 55 = -25 m (i.e., 25 m South)

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Currently facing South

Turn right → Now facing West

Move 45 meters → Position: 40 - 45 = -5 m (i.e., 5 m West), 25 m South

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Final position relative to starting point:

• Horizontal displacement: 5 meters West
• Vertical displacement: 25 meters South

Since she is both West and South of her starting point, she is in the South-West direction.

Therefore, the answer is Option 4: South-West.