1. in a way that attracts and holds someone's interest or attention
2. in a way that is pleasant and attractive in manner or personality

Examples

• The speaker presented the material in an engagingly clear manner that kept the audience interested.
• She smiled engagingly at the guests as she welcomed them to the party.
• The novel's protagonist is engagingly flawed, making readers care about her journey.
• He told the story engagingly, using humor and vivid details to hold everyone's attention.
• The museum exhibit was engagingly designed with interactive displays for visitors of all ages.
• She spoke engagingly about her travels, captivating the entire room with her descriptions.