# Tedious \(I\)

**Geometry**Level 5

Given , a \(\triangle ABC\) which is \(not-obtuse-angled\) .

Now a square , a regular polygon of sides \(m\) and another regular polygon of sides \(n\) are constructed on sides of given triangle.

\(WLOG\) let angle \(A=\alpha\) ,angle \(B=\beta\) ,angle \(C=\gamma\). Such that \(\alpha \leq \beta <\gamma\)

Now centers of square and the 2 regular ploygons when joined form an \(equilateral \) triangle .

Then find \(m+n+ \alpha - \beta + \gamma\) .

**Note** : All angles are in degrees .