Answer
$a=2.31$
$b=5.5$
$c=7.03$
Work Step by Step
Let's find the angle opposite to b:
$B=180°-16°-123°=41°$
$\frac{a}{sin~16°}=\frac{5.5}{sin~41°}$
$a=5.5\frac{sin~16°}{sin~41°}=2.31$
$\frac{c}{sin~123°}=\frac{5.5}{sin~41°}$
$c=5.5\frac{sin~123°}{sin~41°}=7.03$