The measures of two angles ..
Now find the measure of the third angle.
\The sum of the angle measures of a triangle is .
(Substitute
)
Subtract 78 from each side.
\
Apply Law of sines.
\ \ \
Substitute .
Apply Cross multiplication then
.
Divide each side by 0.8290.
\Apply Law of sines.
\
Substitute .
Apply Cross multiplication then
.
\
Divide each side by 0.9781.
\
The values are ,
, and
.