Answer
$A =100^\circ$
$a \approx5.24$
$c \approx0.92$
Work Step by Step
1. Find the third angle $A=180-70-10=100^\circ$
2. Use the Law of Sines, we have $\frac{a}{sin100^\circ}=\frac{c}{sin10^\circ}=\frac{5}{sin70^\circ}$
3. $a=\frac{5sin100^\circ}{sin70^\circ}\approx5.24$
4. $c=\frac{5sin10^\circ}{sin70^\circ}\approx0.92$
