The word "安琪儿" is formed through phonetic transliteration, where each character is selected to approximate the sounds of the English word "angel": "安" (ān) corresponds to "an", "琪" (qí) to "gel" or "gi", and "儿" (ér) to the ending "l" or "le" sound, resulting in a term that sounds similar to the original while using existing Chinese characters.