From the given data : a = 55, b = 25 and c = 72.
\Law of cosines for cos A :
.
(Substitute : a = 55, b = 25 and c = 72)

(Simplify)

(
)
Law of cosines for cos B :
.
(Substitute : a = 55, b = 25 and c = 72)
(Simplify)

(Simplify)
(
)
Law of cosines for cos C : 
(Substitute : a = 55, b = 25 and c = 72)
(Simplify)

(Simplify)
(
)
The solution is
,
and
.