Answer
no triangle.
Work Step by Step
1. Use the Law of Sines, we have $\frac{2}{sinA}=\frac{1}{sin100^\circ}=\frac{b}{sinB}$
2. $A=sin^{-1}(\frac{2sin100^\circ}{1})=sin^{-1}(1.97)$ no triangle.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.