In lines 359-387 of Sir Gawain and the Green Knight, Gawain displays bravery, honor, and chivalry by volunteering to take the Green Knight's challenge in King Arthur's place. This reflects the ideals of knighthood as Gawain is willing to face danger to uphold his honor and fulfill his duties as a knight. Additionally, Gawain's willingness to face the Green Knight demonstrates his loyalty and commitment to his king and the Round Table.