Problems

Find the angles of the triangle \(ABC\) if the center of the inscribed circle \(E\) and the center of the superscribed circle \(D\) are symmetric with respect to the segment \(AC\).

Peter came to the Museum of Modern Art and saw a square painting in a frame of an unusual shape, consisting of \(21\) equal triangles. Peter was interested in what the angles of these triangles were equal to. Help him find them.