Answer
$a=5.94$
$b=6.65$
$c=10$
Work Step by Step
Let's find the angle opposite to c:
$C=180°-35°-40°=105°$
$\frac{a}{sin~35°}=\frac{10}{sin~105°}$
$a=10\frac{sin~35°}{sin~105°}=5.94$
$\frac{b}{sin~40°}=\frac{10}{sin~105°}$
$b=10\frac{sin~40°}{sin~105°}=6.65$
