Answer
$C =165^\circ$
$a \approx3.35$
$b \approx1.68$
Work Step by Step
1. Find the third angle $C=180-10-5=165^\circ$
2. Use the Law of Sines, we have $\frac{a}{sin10^\circ}=\frac{b}{sin5^\circ}=\frac{5}{sin165^\circ}$
3. $a=\frac{5sin10^\circ}{sin165^\circ}\approx3.35$
4. $b=\frac{5sin5^\circ}{sin165^\circ}\approx1.68$
