Answer
There is no triangle with these values.
Work Step by Step
First, we can only calculate the angle $A$ with the help of the Law of Sines:
$\frac{sin(A)}{a}=\frac{sin(C)}{c}$
$\frac{sin(100°)}{1}=\frac{sin(A)}{2}$
$sin(A)=1.96$
This equation means, that there is no triangle with these values. That's because the range of the sine function is:
$-1\le \sin x\le 1$