Correct Answer: “Who are you to speak to me so rudely?” he angrily asked the stranger.

Solution : The second option is the correct answer.

The steps of conversion are as follows:

• There would be no change in the reporting verb because the sentence is an interrogative sentence.
• The auxiliary verb "was" is changed to "are" as the simple past tense is changed to the simple present tense.
• The third-person pronoun "he" is changed to the second-person pronoun "you", and "him" (a third-person pronoun) is changed to "me" (a first-person pronoun).

Therefore, the correct answer is: “Who are you to speak to me so rudely?” he angrily asked the stranger.