Line check - AA flopped set two tone board - NL200

[cha59]

Villain is 18/15 TAG

(6 max) - $1/$2 - No Limit Hold'em
Seat 1: ($564.75)
Seat 2: ($207)
Seat 3: ($382.40)
Seat 4: Villain ($261.15)
Seat 5: ($40)
Seat 6: Hero ($361.30)
Villain posts the small blind of $1
Seat 5 posts the big blind of $2
The button is in seat #3
*** HOLE CARDS ***
Dealt to Hero [A[img]/images/graemlins/diamond.gif[/img] A[img]/images/graemlins/spade.gif[/img] ]
Hero raises to $7
Three folds
Villain has 15 seconds left to act
Villain calls $6
BB folds
*** FLOP *** [4[img]/images/graemlins/spade.gif[/img] A[img]/images/graemlins/club.gif[/img] 7[img]/images/graemlins/spade.gif[/img] ]
Villain checks
Hero bets $15
Villain raises to $45
Hero raises to $354.30, and is all in
Villain has 15 seconds left to act
Villain folds


Anyone like a smaller raise or a flat call? Why?