Synergids are haploid.
According to the provided reference, the embryo sac contains several haploid cells: antipodal cells, synergids, the egg cell, and polar nuclei. This clearly indicates that synergids possess a haploid chromosome number.
Here's a breakdown of the information:
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Embryo Sac Cells and Ploidy:
Cell Type Ploidy Antipodal Cells Haploid Synergids Haploid Egg Cell Haploid Polar Nuclei Haploid