Questions & Answers about Mój kolega wygląda na zmęczonego.
Because mój has to agree with kolega, and kolega is a masculine noun.
Even though kolega ends in -a, it refers to a male person, so it is grammatically masculine. That is why the possessive adjective is:
- mój kolega = my male friend / my colleague
Compare:
- moja koleżanka = my female friend / female colleague
- moje dziecko = my child (neuter)
So the form of mój depends on the grammatical gender of the noun, not just the final letter.