Step 1: Recall the reaction.
Acetamide reacts with Br$_2$/KOH in the Hofmann bromamide reaction.
Step 2: Reaction details.
R–CONH$_2$ \(\xrightarrow{Br_2/KOH}\) R–NH$_2$ + CO$_2$.
Here, CH$_3$CONH$_2$ → CH$_3$NH$_2$.
Step 3: Conclusion.
The product is methyl amine.