Answer
$C =43^\circ$
$a \approx6.67$, $c \approx5.02$
Work Step by Step
1. Find the third angle $C=(180-65-72)=43^\circ$
2. Use the Law of Sines, we have $\frac{a}{sin65^\circ}=\frac{7}{sin72^\circ}=\frac{c}{sin43^\circ}$,
3. thus $a=\frac{7sin65^\circ}{sin72^\circ}\approx6.67$, $c=\frac{7sin43^\circ}{sin72^\circ}\approx5.02$
