Answer
$B= 45^\circ$
$a \approx3.25$
$c \approx4.23$
Work Step by Step
Step 1. Using the given figure and conditions, we have $B=180-50-85=45^\circ$
Step 2. Using the Law of Sines, we have $\frac{a}{sin50^\circ}=\frac{c}{sin85^\circ}=\frac{3}{sin45^\circ}$
Step 3. Thus $a=\frac{3sin50^\circ}{sin45^\circ}\approx3.25$ and $c=\frac{3sin85^\circ}{sin45^\circ}\approx4.23$
