Explanation:

This question asks for a synonym (a word with a similar meaning) for 'Imbroglio'. 'Imbroglio' (pronounced im-BROH-lyoh) is a noun that refers to a confused, complicated, or embarrassing situation, especially one that is difficult to resolve. \nOption A: 'complicated' means involving many different and confusing aspects. This is a very close synonym for 'imbroglio', as an imbroglio is inherently a complicated situation. \nOption B: 'simple' means easily understood or done; presenting no difficulty. This is an antonym of 'imbroglio', not a synonym. \nOption C: 'dangerous' means involving or posing a risk; likely to cause harm. While an imbroglio might be dangerous, 'dangerous' describes a potential characteristic, not the core meaning of being a confused situation. \nOption D: 'calm' means not showing or feeling nervousness, anger, or other strong emotions. This is an antonym of the confusion and difficulty implied by 'imbroglio'. \nTherefore, 'complicated' is the best synonym for 'Imbroglio'.