Topic: Dangling Modifer,

Best Answer Explained in Below-:

The correct option, C) "how the thief made," is the only grammatically correct phrase among the choices given. The original question, "how did the thief made an escape," contains a grammatical error that stems from a misunderstanding of verb tense and structure.

In English, when using the auxiliary verb "did," the main verb should be in its base form. Therefore, it should be "how did the thief escape" rather than "how did the thief made." In the correct option "how the thief made," the phrase is structured in the past tense, which matches the intention of the question. Here, "made" is the simple past form of the verb "make," indicating a completed action.

The other options are incorrect for various reasons:
- A) "how the thief did make" introduces an unnecessary auxiliary verb,
- B) "how the thief does make" uses the present tense, which does not align with the context of a past event,
- D) "how was the thief made" incorrectly implies that we're discussing the thief's creation rather than their action of escaping.

Thus, option C effectively maintains the proper grammatical structure and tense to convey the intended meaning.