Answer
$C =95^\circ$
$a \approx6.36$
$c\approx9.86$
Work Step by Step
Step 1. Using the given figure and conditions, we have $C=180-40-45=95^\circ$
Step 2. Using the Law of Sines, we have $\frac{a}{sin40^\circ}=\frac{c}{sin95^\circ}=\frac{7}{sin45^\circ}$
Step 3. Thus $a=\frac{7sin40^\circ}{sin45^\circ}\approx6.36$ and $c=\frac{7sin95^\circ}{sin45^\circ}\approx9.86$
