Cyclic Quadrilaterals are often important objects in a Geometry problem. Recognizing them can lead to a path to the solution. Pre RMO 2017 Problem 13 Solution is a part of our Pre-RMO problem solving series.

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**How to recognize cyclic quadrilaterals? **

- Opposite angles add up to \( \pi \)
- Two angles subtended by one segment are equal
- Sum of the product of opposite sides equal product of diagonals

Now look into this problem:

# Part 1

# Part 2

## Part 3