Final answer:
The correct synapomorphy within genus X reflecting evolutionary relationships is the presence of antennae with fewer than 10 segments in species C, D, and E, as it is a derived trait that distinguishes them from other genera in the family.
Step-by-step explanation:
The question pertains to identifying a synapomorphy within the genus X that would be helpful for determining evolutionary relationships among its member species. A synapomorphy is a characteristic that is shared by two or more taxa and is derived from their most recent common ancestor. Considering the information provided, the character state that is a synapomorphy for species within genus X would be antennae with fewer than 10 segments in species C, D, and E since this is a shared derived trait that sets them apart from the other genera in the family with a constant 10-segment antennae feature. The presence of 10 segments in species A and B is not unique in this context as it is shared with other genera, and similarly, the 8 segment antennae in species E is a trait unique to that species rather than a shared derived character.