We divided a rectangle into four triangles as shown in the picture. We measured all the internal angles in these triangles and obtained the following values: $15^{\circ}, 20^{\circ}, 20^{\circ}, 50^{\circ}, 55^{\circ}, 70^{\circ}, 75^{\circ}, 75^{\circ}, 90^{\circ}, 90^{\circ}, 130^{\circ}$, and one value that we forgot to write down. Determine the missing value and specify which angle it is, given that segment $B E$ is longer than segment $F C$. (Note, the picture may be inaccurate, it is not worth measuring.)

(S. Bednářová)

![](https://cdn.mathpix.com/cropped/2024_04_17_fa77236f1bc7a0516474g-1.jpg?height=462&width=1131&top_left_y=1962&top_left_x=494)