# A geometry problem by Leonardo Joau

Geometry Level 5

$ABC$ is an isosceles triangle with $\overline{AB}=\overline{AC}$.

$\alpha$ and $\beta$ are two circumferences that have centres in $\overline{BC}$ and intersects this straight line in points $B$,$S$ and $C$.

The diameters of $\alpha$ and $\beta$ are $\sqrt{2}+1$ and $1$, respectively.

If $\measuredangle{BAS}=30^\circ$ find $\angle{ABP}$.