Answer
$C =100^\circ$;
$b \approx0.65$, $c \approx1.29$
Work Step by Step
Step 1. $C=180-A-B=100^\circ$;
Step 2. Use the Law of Sines: $\frac{b}{sin30^\circ}=\frac{c}{sin100^\circ}=\frac{1}{sin50^\circ}$, thus $b=\frac{sin30^\circ}{sin50^\circ}\approx0.65$, $c=\frac{sin100^\circ}{sin50^\circ}\approx1.29$