Polite equivalent of どう. Used to ask about manner, state, or to make a suggestion or offer.
How are you feeling?
コーヒーはいかがですか。
How about some coffee?
Used in the pattern いかがなものか to express doubt or disapproval about something. Often implies that something is not quite right or acceptable.
その計画はいかがなものかと思います。
I have my doubts about that plan.
Would you like some tea?
How was your trip?
How have you been doing since then?