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geometry rioplatense MO 2023 P2

Source: Rioplatense L-2 2023 #2

December 5, 2023
geometryexcenterAngle Chasing

Problem Statement

Let ABCDABCD be a convex quadrilateral, such that AB=CDAB = CD, ∠BCD=2∠BAD\angle BCD = 2 \angle BAD, ∠ABC=2∠ADC\angle ABC = 2 \angle ADC and ∠BAD≠∠ADC\angle BAD \neq \angle ADC. Determine the measure of the angle between the diagonals ACAC and BDBD.
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