MathDB
CVM 2020 - Problem 4

Source: CVM 2020

July 16, 2020
geometryparallelogram

Problem Statement

Consider an ABCDABCD parallelogram with AD‾\overline{AD} == BD‾\overline{BD}. Point E lies in segment BD‾\overline{BD} in such a way that AE‾\overline{AE} == DE‾\overline{DE}. The extension of line AE‾\overline{AE} cuts segment BC‾\overline{BC} and FF. if line DF‾\overline{DF} is the bisector of the ∠CED\angle CED. Find the value of the ∠ABD\angle ABD
<spanclass=′latex−bold′>4.1.</span><span class='latex-bold'>4.1.</span> Point EE lies in segment BD‾\overline{BD} means that exits a point EE in the segment BD‾\overline{BD} in other words lies refers to the same thing found
Proposed by Alicia Smith, Francisco Morazan
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