If a eukaryotic cell has 20 chromosomes and undergoes meiosis, the resulting cells will be haploid cells, each with 10 chromosomes. Meiosis is a type of cell division that reduces the number of chromosomes in the resulting cells by half. During meiosis, the cell goes through two rounds of division, resulting in four unique daughter cells, each of which has half the number of chromosomes as the parent cell. In the case of a eukaryotic cell with 20 chromosomes, meiosis would result in four haploid daughter cells, each with 10 chromosomes.
Therefore, the correct answer is option C: haploid cells, each with 10 chromosomes