Answer
$B =45^\circ$
$a \approx3.25$
$c \approx4.23$
Work Step by Step
1. Find the third angle $B=180-50-85=45^\circ$
2. Use the Law of Sines, we have $\frac{a}{sin50^\circ}=\frac{c}{sin85^\circ}=\frac{3}{sin45^\circ}$
3. $a=\frac{3sin50^\circ}{sin45^\circ}\approx3.25$
4. $c=\frac{3sin85^\circ}{sin45^\circ}\approx4.23$
