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Intermediate

Communication across the void

The end points of three diameters of three circles are involved in two cyclic quadrilaterals, purple and orange, separated by the green triangle. What is the angle α between the other (not diameter) diagonals of the two quadrilaterals?

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Solution

The angle α is 90°.

Solution by Nemo.

More solutions: https://x.com/Mirangu1/status/1917109568154243371

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