I have to find $\epsilon$ and $\delta$.
The other angles defined are known. The white line is split in half by the dashed line.
I checked in a CAD-Program that $\alpha$, $\beta$ and $\gamma$ are sufficient to define the shape. I am able to calculate all angles in the diagram except for $\epsilon$ and $\delta$. Only thing I could come up with was a relation between those:
$\epsilon + \delta =180^\circ- \alpha - \beta$
To solve for $\epsilon$ and $\delta$, I know only need another equation that is not redundant with the first. It needs to include $\gamma$, but I couldn't find such a formula. It seems like an easy trigonometry problem, but every approach I tried just resolves in a redundant formula.
Thank you for your help.
PS: If someone wants to know. I need those angles to calculate the gapsize of a leaf seal as a function of the radius.