The measure are
.
Apply law of cosines to determine angle A.
\
(Substitute
)


Subtract 61781 from each side.
\

Divide each side by 61420.
\

Apply inverse function.
\

Find C
\
(Apply Law of sines)
(Substitute
)

Apply Cross multiplication
then
.


Divide each side by 140.
\

Apply inverse function.
\

The sum of the angle measures of a triangle is
.
(Substitute
)
Subtract 107 from each side.
\

The angles of
,
and
.