stake vs wager

stake and wager both are nouns.

Word	Noun	Adjective	Verb	Adverb
stake	Yes	No	Yes	No
wager	Yes	No	Yes	No

As nouns, stake and wager are synonyms defined as:

Other synonyms of stake include bet, stakes.

As verbs, wager is a hypernym of stake; that is, wager is a word with a broader meaning than stake:

Other hypernyms of stake include bet, play.

stake (noun)	wager (noun)
a strong wooden or metal post with a point at one end so it can be driven into the ground	the act of gambling
instrument of execution consisting of a vertical post that a victim is tied to for burning	the money risked on a gamble
a pole or stake set up to mark something (as the start or end of a race track)
the money risked on a gamble
(law) a right or legal share of something; a financial involvement with something

stake (verb)	wager (verb)
place a bet on	maintain with or as if with a bet
mark with a stake	stake on the outcome of an issue
tie or fasten to a stake
kill by piercing with a spear or sharp pole
put at risk