How does he manage to make his offer seem humble not boastful Sir Gawain and the Green Knight?

In "Sir Gawain and the Green Knight," Gawain presents his offer to take on the Green Knight's challenge with a tone of humility, emphasizing his willingness to sacrifice himself for King Arthur and the court. He downplays his own worth by stating that he is the least worthy of the knights, thus framing his acceptance as an act of loyalty rather than personal ambition. By positioning his actions as a service to the king and the realm, Gawain deflects attention from his own bravery, making his offer appear selfless and honorable rather than boastful.