Answer
$A =100^\circ$
$b \approx5.24$
$c \approx0.92$
Work Step by Step
Step 1. Using the given conditions, we have $A=180-70-10=100^\circ$
Step 2. Using the Law of Sines, we have $\frac{a}{sin100^\circ}=\frac{c}{sin10^\circ}=\frac{5}{sin70^\circ}$
Step 3. Thus $b=\frac{5sin100^\circ}{sin70^\circ} \approx5.24$ and $c=\frac{5sin10^\circ}{sin70^\circ}\approx0.92$
