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:

Part 1

Part 2

Part 3