ADJ

previous, prior
Mrs Spratt regrets that she is unable to attend owing to a previous engagement
important
business, official, public, social
dinner, lunch

VERB + ENGAGEMENT

have
keep
It is important that I keep this engagement
carry out (formal)
The prime minister will carry out no official public engagements during the month of August
cancel, fail to keep
The president fell ill and was forced to cancel all public engagements

ENGAGEMENT + NOUN

diary

PREP

~ with
He had an important engagement with his financial adviser

ADJ

long
broken

VERB + ENGAGEMENT

announce
break (off)

ENGAGEMENT + NOUN

ring

PREP

~ to
He announced his engagement to his long-time girlfriend