Other Relations between Distorted Angles vs. Original Angles of a Traveling General Triangle in Special Relativity

Let's consider a traveling general triangle $\Delta $\textit{ABC,} with the speed $v$, along its side \textit{BC }on the direction of the $x-$axis; angles $B$ and $C$ are adjacent to the motion direction, while angle $A$ is of course opposite. After the contraction of the side \textit{BC} with the Lorentz factor $C(v)=\sqrt {1-\frac{v^{2}}{c^{2}}} $, and consequently the contractions of the oblique-sides \textit{AB} and \textit{AC} with the oblique-contraction factor \[ OC(v,\theta )=\sqrt {C(v)^{2}\cos^{2}\theta +\sin^{2}\theta } , \] where $\theta $ is the angle between respectively each oblique-side and the motion direction, one gets the general triangle $\Delta A'B'C'$ with the following trigonometric relations between distorted angles \textit{A', B', C'} vs. original angles $A, B, C$ of the general triangle: \[ \frac{\sin A'}{\sin A\cdot C\left( v \right)}=\frac{\sin B'}{\sin B\cdot OC\left( {v,C} \right)}=\frac{\sin C'}{\sin C\cdot OC\left( {v,B} \right)}; \] \[ \cos A'=\cos A\cdot \frac{-\alpha^{2}\cdot C\left( v \right)^{2}+\beta ^{2}\cdot OC\left( {v,C} \right)^{2}+\gamma^{2}\cdot OC\left( {v,B} \right)^{2}}{\left( {-\alpha^{2}+\beta^{2}+\gamma^{2}} \right)\cdot OC\left( {v,C} \right)\cdot OC\left( {v,B} \right)}; \] \[ \tan A'=\frac{\tan A}{C\left( v \right)}\cdot \frac{1-\tan B\cdot \tan C}{1-\tan B\cdot \tan C\cdot C\left( v \right)^{2}}. \]