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2022 Polish Junior Math Olympiad Finals P3

Source: 2022 Polish Junior Math Olympiad Finals P3

May 21, 2023
geometry

Problem Statement

Given a parallelogram ABCDABCD in which ∠ABD=90∘\angle ABD=90^\circ and ∠CBD=45∘\angle CBD=45^\circ. Point EE lies on segment ADAD such that BC=CEBC=CE. Determine the measure of angle BCEBCE.
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