動詞 engage:

1. carry out or participate in an activity; be involved in
   同義詞：prosecute, engage, pursue
2. engage or engross wholly
   同義詞：absorb, engross, engage, occupy
3. engage or hire for work
   同義詞：hire, engage, employ
4. ask to represent; of legal counsel
   同義詞：engage
5. give to in marriage
   同義詞：betroth, engage, affiance, plight
6. get caught
   同義詞：engage
7. carry on (wars, battles, or campaigns)
   同義詞：engage, wage
8. hire for work or assistance
   同義詞：engage, enlist
9. engage for service under a term of contract
   同義詞：lease, rent, hire, charter, engage, take
10. keep engaged
    同義詞：engage, mesh, lock, operate

形容詞 engaging:

1. attracting or delighting
   同義詞：piquant

1. The act of engaging or the state of being engaged.
   約定，預(yù)定訂約的行為或已定約的狀態(tài)
2. Any of various devices for engaging and disengaging two working parts of a shaft or of a shaft and a driving mechanism.
   離合器一種使軸的兩個職能部分或軸與機械驅(qū)動裝置處于相咬合或相分離狀態(tài)的設(shè)備
3. Engaging in fraud; deceitful.
   從事詐騙的; 欺騙的
4. They are engaging in a duel of words.
   他們雙方在斗嘴。

en.gag.ing

adj.（形容詞）
Charming; attractive:
迷人的；吸引人的：
例句：
an engaging smile.
迷人的微笑

【引伸】
engag.ingly
adv.（副詞）