Longman Dictionary of Contemporary English - engaged

~ adj 1 having agreed to get married  (They've been engaged for six months.)  (Have you met the man she's engaged to?) get engaged (=agree to marry someone)  (Siobhan and Ray have just got engaged.) 2 BrE an engaged telephone is being used; busy1 (7) AmE  (engaged line/number)  (I can't get through - her line's engaged. | engaged tone (=the sound you hear when the telephone is engaged)) 3 a public toilet that is engaged is being used  (- opposite vacant (1)) 4 be otherwise engaged formal to be unable to do something because you have arranged to do something else