Question

my friend said, "may I smoke" ​

Answer 1

Answer:

My friend asked if he might smoke.

Explanation:

$\rightarrow$ We are dealing with narration here, where direct narration is converted into indirect narration.

$\rightarrow$ This question if based on 'yes/no' statements, so we'll use 'if/whether' here.

$\rightarrow$ May =might.

Answer 2

Answer:My friend asked that might I smoke