Answer
$C=100^\circ$
$a\approx1.31$
$b\approx1.31$
Work Step by Step
1. Find the third angle $C=180-40-40=100^\circ$
2. Use the Law of Sines, we have $\frac{a}{sin40^\circ}=\frac{b}{sin40^\circ}=\frac{2}{sin100^\circ}$
3. $a=\frac{2sin40^\circ}{sin100^\circ}\approx1.31$
4. $b=\frac{2sin40^\circ}{sin100^\circ}\approx1.31$