\section*{Problem 2 - 261012}

Martin tells his friend Jörg that he has drawn a parallelogram \(A B C D\) in which the perpendicular \(B E\) dropped from \(B\) to the line through \(A\) and \(D\) passes through the intersection point \(S\), where the perpendicular bisector \(s\) of \(A B\) intersects the angle bisector \(w\) of \(\angle B A D\). Jörg claims that the size of the angle \(\angle C B A\) can be determined solely from these statements.

Investigate whether Jörg's claim is true! If this is the case, determine the size of the angle \(\angle C B A\)!

![](https://cdn.mathpix.com/cropped/2024_06_06_b85a894aa8dbf722a7b3g-1512.jpg?height=345&width=604&top_left_y=1178&top_left_x=246)