5. The angle at vertex $B$ of triangle $A B C$ is $58^{0}$. Through points $A$ and $C$, lines perpendicular to line $A C$ are drawn and intersect the circumcircle of triangle $A B C$ at points $D$ and $E$. Find the angle between the diagonals of the quadrilateral with vertices at points $A, C, D$ and $E$.
Answer: $64^{0}$

## Grading Criteria for the Final Round of the Rosatom Olympiad 04.03.2023 8th Grade

In all problems, the correct answer without justification $\quad 0$