Final answer:
The genotypes of the parent tomatoes in the cross are Ff for the fuzzy skinned tomato and ff for the smooth skinned tomato, resulting in fuzzy and smooth skinned offspring.
Step-by-step explanation:
In tomatoes, fuzzy skin is dominant (allele F) over smooth skin (allele f). Given a genetic cross resulting in 69 fuzzy skinned tomatoes and 58 smooth skinned tomatoes, we can infer the genotypes of the parent tomatoes. Since there are offspring with both phenotypes, the smooth skinned tomato must have the genotype ff. For the fuzzy skinned tomato parent to have produced smooth offspring, it must have a heterozygous genotype Ff. This cross is a monohybrid cross following a dominant and recessive pattern, similar to Mendel's pea plant experiments. If we interpret this in terms of a Punnett square, crossing Ff (fuzzy) with ff (smooth) would yield fuzzy and smooth offspring in a 1:1 ratio, which is approximately what is observed in the results given.