Questions & Answers about Moja sestra danas nosi haljinu, a ja nosim pantalone.
Because moj/moja/moje works like an adjective in Serbian, so it must agree with the noun it describes.
- sestra is feminine singular
- so my sister is moja sestra
Compare:
- moj brat = my brother
- moja sestra = my sister
- moje dete = my child
So moja is the feminine singular form needed for sestra.
Sestra is in the nominative singular, because it is the subject of the clause:
- Moja sestra danas nosi haljinu
- My sister is the person doing the action
So the basic dictionary form sestra is used here.