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Honduran National MO (OHM) Intermediate Problem 4

Source: 2021 OHM Intermediate P4

November 21, 2021
geometry

Problem Statement

Consider parallelogram ABCDABCD and let EE be the midpoint of BCBC. In segment DEDE a point FF is chosen such that AFAF is perpendicular to DEDE. Prove that ∠CDE=∠EFB\angle CDE=\angle EFB.
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