Answer
$A= 40^\circ$
$a \approx3.23$
$b \approx3.55$
Work Step by Step
1. Find the third angle $A=180-95-45=40^\circ$
2. Use the Law of Sines, we have $\frac{a}{sin40^\circ}=\frac{b}{sin45^\circ}=\frac{5}{sin95^\circ}$
3. $a=\frac{5sin40^\circ}{sin95^\circ}\approx3.23$
4. $b=\frac{5sin45^\circ}{sin95^\circ}\approx3.55$