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computational geo <ABD=<BCD, <ABD=<ECD 2013 BMT Individual 15

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January 2, 2022
geometryequal angles

Problem Statement

Let ABCDABCD be a convex quadrilateral with ∠ABD=∠BCD\angle ABD = \angle BCD, AD=1000AD = 1000, BD=2000BD = 2000, BC=2001BC = 2001, and DC=1999DC = 1999. Point EE is chosen on segment DBDB such that ∠ABD=∠ECD\angle ABD = \angle ECD. Find AEAE.
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