The measure of angle is
.
Now find the measure of two angles.
\
(Apply Law of sines)
(Substitute
)

Apply Cross multiplication
then
.

Divide each side by 3.
\

Apply the inverse function.
\

The sum of the angle measures of a triangle is
.
(Substitute
)

Subtract 72 from each side.
\
\ \
(Apply Law of sines)
(Substitute
)
Apply Cross multiplication
then
.


Divide each side by 0.5.
\

The values are
,
, and
.