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: