The measure of angle .
.
Find B,
\
(Apply Law of sines)
(Substitute
)

Apply Cross multiplication
then
.


Divide each side by 5.
\

Apply inverse function.
\

Now find the measure of the third angle.
\The sum of the angle measures of a triangle is
.

(Substitute
) \ \

Subtract 112 from each side.
\
(Apply Law of sines)
(Substitute
)

Apply Cross multiplication
then
.

Divide each side by 0.7313. \ \


The values are
,
, and
.