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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.

Also visit: Math Olympiad Program of Cheenta

## 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: