Answer
$A=83°20'$, $B=42°04'$, $C=54°36$
$a=22.01$, $b=14.88$, $c=18.1$$
Work Step by Step
$A=83°20'$, $C=54.6°=54°36'$
$A+B+C=180°$
$B=180°-83°20'-54°36'=42°04'$
$\frac{a}{sin~82°20'}=\frac{18.1}{sin~54°36'}$
$a=18.1~\frac{sin~82°20'}{sin~54°36'}=22.01$
$\frac{b}{sin~42°04'}=\frac{18.1}{sin~54°36'}$
$b=18.1~\frac{sin~42°04'}{sin~54°36'}=14.88$