In a quadrilateral, the following are given: the two diagonals, the angle they form with each other, the segments of one diagonal, and one angle opposite to this diagonal. Construct the quadrilateral.

Please construct the quadrilateral based on the given information.
We draw the diagonal $AB$, whose segments are $AG$ and $BG$ and pass through point $G$ in the direction of the other diagonal. Over $AB$, we draw the circle such that all the peripheral angles corresponding to the chord $AB$ are equal to the given angle. The intersection of this circle and the other diagonal is the third vertex of the quadrilateral $C$; measuring the given length of the second diagonal on $CG$, we obtain the fourth vertex of the quadrilateral $D$.

(Devecis Mihály.)

Number of solutions: 24.