Answer
$C =117^\circ$
$b \approx6.85$,
$c \approx16.30$
Work Step by Step
1. Find the third angle $C=180-41-22=117^\circ$
2. Use the Law of Sines $\frac{12}{sin41^\circ}=\frac{b}{sin22^\circ}=\frac{c}{sin117^\circ}$
3. $b=\frac{12sin22^\circ}{sin41^\circ}\approx6.85$,
$c=\frac{12sin117^\circ}{sin41^\circ}\approx16.30$
