Answer:
AX=2 BY=5 CZ=3
Explanation:
Lets call AX (x). Once you do so, one can tell that AZ=5-x. CZ is also 5-x. BX is also x. Therefore you can say that BY=7-x which makes CY 7-x. Now for side YZ, CZ is 5-x and CY is 7-x.
5-x+7-x=8
solving that you get x=2
AX=2
BY=7-x=5
CZ=5-x=3
Hope this explains some more than the other answer. Please ask any questions.