Question

based on fhas diagram what values can be assigned to the magnetic quantum number for the electrons in the atom

Answer 1

we would need the full diagram/atom to answer this, but as a general rule:

start with the principal quantum number n
then determine the angular quantum number l (lowercase l) which can be any integer from 0 up to (n-1)
finally, the magnetic quantum number is any integer from -l to +l (lowercase l) inclusive

reference: https://chemed.chem.purdue.edu/genchem/topicreview/bp/ch6/quantum.html