Step 1: Understanding the Concept
Nucellus and megaspore mother cell belong to the sporophyte and are diploid.
Step 2: Haploid structures
Microspores, megaspores and all cells of the embryo sac (egg, synergids, antipodals) are haploid.
Step 3: Compare the options
Only the pair of egg cell and antipodal cells has both members haploid.
Final Answer:
The egg cell and the antipodal cells are haploid.
\[ \boxed{\text{(D) }\text{Egg cell and antipodal cells}} \]