In five kingdom classification, the kingdom that includes the blue-green algae, nitrogen-fixing bacteria and methanogenic archaebacteria, is the kingdom:

Step-by-step solution

In the five-kingdom classification system, the kingdom Monera includes all the prokaryotic celled organisms. Prokaryotes are organisms whose cells lack a well-defined nucleus. All the bacterial groups are included in Monera as well since bacteria have a prokaryotic cell structure. Cyanobacteria are a group of free-living photosynthetic bacteria that perform oxygenic photosynthetic process