# How to solve an hyperbolic Angle Side Angle triangle?

If from an hyperbolic triangle $\triangle ABC$ the angels $\angle A$, $\angle B$ and side $c$ are given. (ASA triangle, a side and both adjacent angles are given)

How can I calculate the remaining angles and sides? (or at least one of them)

In Euclidean geometry you start with calculating $\angle C$ by substracting $\angle A$ and $\angle B$ from a straight angle, but in hyperbolic geometry that obviously doesn't work.

$\sin A \sin B \cosh c = \cos C + \cos A \cos B$ or
$\cos C = \sin A \sin B \cosh c - \cos A \cos B$
$\frac{\sin C}{\sinh c}=\frac{\sin B}{\sinh b}=\frac{\sin A}{\sinh a}$