Final answer:
King Menelaus demonstrates great hospitality to Telemachus and Nestor's son by following the ancient Greek tradition of xenia, including offering them a warm welcome, food, and safety while they seek information about Odysseus.
Step-by-step explanation:
In Homer's epic 'The Odyssey', King Menelaus showcases exemplary hospitality towards Telemachus and Nestor's son in a manner befitting a king of his time. Such hospitality consisted of providing a warm welcome, shelter, food, and safety. These gestures were part of the ancient Greek concept of hospitality, or xenia, which was a sacred bond between host and guest and an important aspect of their social and religious customs. Menelaus's hospitality sets the tone for a respectful and protective environment in which Telemachus can pursue his inquiries about his father, Odysseus.