Answer
Not sufficient information
Work Step by Step
$\frac{a}{\sin\angle A}=\frac{b}{\sin\angle B}=\frac{c}{\sin\angle C}$
Let $a,b,m\angle C$ be the known measures.
In the equation
$\frac{a}{\sin\angle A}=\frac{b}{\sin\angle B}$
out of 4 quantities, only 2 are known, so we cannot solve for $A$ or $B$.
Similarly, the equations
$\frac{b}{\sin\angle B}=\frac{c}{\sin\angle C}$
$\frac{a}{\sin\angle A}=\frac{c}{\sin\angle C}$
are impossible to be solved.
In this case we need to apply the Law of Cosines.
