Answer
$C =100^\circ$
$b\approx0.65$, $c\approx1.29$
Work Step by Step
1. Find the missing angle $C=180-50-30=100^\circ$
2. Use the Law of Sines $\frac{1}{sin50^\circ}=\frac{b}{sin30^\circ}=\frac{c}{sin100^\circ}$
3. Thus $b=\frac{sin30^\circ}{sin50^\circ}\approx0.65$, $c=\frac{sin100^\circ}{sin50^\circ}\approx1.29$
