The measures of two angles . and b = 20.
Now find the measure of the third angle.
\The sum of the angle measures of a triangle is .
(Substitute
)
Subtract 160 from each side.
\
(Apply Law of sines)
(Substitute
and b = 20)
Apply Cross multiplication then
.
Divide each side by 0.3090.
\ (Apply Law of sines)
(Substitute
and
)
Apply Cross multiplication then
.
\
Divide each side by 0.6156.
\
The values are ,
, and
.