Final answer:
The kingdom with organisms that lack a nucleus and can thrive in high salt environments is the Archaebacteria, part of the Archaea domain known for extremophiles.
Step-by-step explanation:
The kingdom that includes organisms that have no nucleus and can live in an environment with extremely high salt content is c. Archaebacteria. These organisms are known as extremophiles, which are a part of the domain Archaea. Although Archaea and Bacteria both consist of single-celled prokaryotic organisms, it is the Archaea that are famously known for surviving in extreme conditions, such as areas with high salt concentration. This is a distinction from Eubacteria (domain Bacteria), Protista, and Euglena, which are different in their genetic and biochemical makeup. The discovery of the Archaea domain revolutionized the understanding of the prokaryotic life and demonstrated that the tree of life is a dynamic concept subject to change with new scientific insights. Organisms in the kingdom Archaebacteria are characterized by having no nucleus and can live in extreme environments, including those with extremely high salt content (halophiles). The other options, Protista, Eubacteria, and Euglena, are not specifically known for thriving in high-salt environments.