Challenging Geometry Reasoning

Geometry Level 3

In the diagram above, \( \overline{ABCD} \) is a square. \( \overline{BD} \) is the angle bisector of \( \angle ABC\) and \( \overline{BE} \) is the angle bisector of \( \angle DBC \).

Find \( \overline{EC} \) in terms of \( \overline{DE} \).

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