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Having agreed to marry; betrothed.
Tom proposed, and they are now engaged.
Tom asked for her hand, and they have agreed to marry.
Often followed by the preposition "to" (e.g., "engaged to John").
Occupied with or involved in a particular activity.
She is engaged in research on climate change.
She is actively working on climate‑change research.
Common collocations: "engaged in", "engaged with".
To attract or hold someone's interest or attention.
The teacher engaged the students with a lively discussion.
The teacher captured the students' interest through discussion.
Used with objects like "audience", "readers", "students".