Answer
The $CH_3Cl$ is an electrophile and the $CH_3NH_2$ is a nucleophile. The curved arrow mechanism is shown in the picture.
This reaction is not Brønsted–Lowry acid–base reaction.
Work Step by Step
1) $CH_3Cl$ is an electrophile because it accepts the lone pair of electrons and $CH_3NH_2$ is a nucleophile because it donates the pair of electron.
2) The curved arrow originated from the $CH_3NH_2$ electron lone pair of nitrogen and goes towards the C in $CH_3Cl$. Then the electrons involved in the bond between C and Cl, go to Cl.
3) In this reaction there is no proton transfer.
Therefore, it is not a Brønsted–Lowry acid–base reaction.
