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2022 Polish Junior Math Olympiad First Round P2

Source:

May 21, 2023
geometry

Problem Statement

In the rectangle ABCDABCD, the ratio of the lengths of sides BCBC and ABAB is equal to 2\sqrt{2}. Point XX is marked inside this rectangle so that AB=BX=XDAB=BX=XD. Determine the measure of angle BXDBXD.
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