Triangle angle sums related to translation curves in $\text{SOL}$ geometry

After having investigated the geodesic and translation triangles and their angle sums in $\text{NIL}$ and $\text{SLR}$ geometries we consider the analogous problem in $\text{SOL}$ space that is one of the eight 3-dimensional Thurston geometries. We analyse the interior angle sums of translation triangles in $\text{SOL}$ geometry and prove that it can be larger or equal than $\pi$. In our work we will use the projective model of $\text{SOL}$ described by E. Moln'ar in \cite{M97},