Answer
$a=36.50$
$b=11.05$
$c=45$
Work Step by Step
Let's find the angle opposite to a:
$A=180°-135°-10°=35°$
$\frac{a}{sin~35°}=\frac{45}{sin~135°}$
$a=45\frac{sin~35°}{sin~135°}=36.50$
$\frac{b}{sin~10°}=\frac{45}{sin~135°}$
$b=45\frac{sin~10°}{sin~135°}=11.05$
