Let's fill in the blanks and then identify the properties of addition used:
(a) (3 + 9) + 6 = 3 + (9 + 6)
Property used: Associative Property of Addition
(b) 3 + 0 = 3
Property used: Identity Property of Addition
(c) 5 + 8 = 8 + 5
Property used: Commutative Property of Addition
So, the completed answers are: (a) 6, Associative Property of Addition (b) 0, Identity Property of Addition (c) 5, Commutative Property of Addition