<p><strong>Adjective</strong></p><ul><li>busy or occupied; involved: deeply engaged in conversation.</li><li>pledged to be married; betrothed: an engaged couple.</li><li>under engagement; pledged: an engaged contractor.</li><li>entered into conflict with: desperately engaged armies.</li><li>Mechanics: interlocked.</li><li>(of wheels) in gear with each other.</li><li>Architecture: (of a distinct member) built so as to be truly or seemingly attached in part to the structure before which it stands: an engaged column.</li></ul>