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Find $\angle DBC$

Source: Moldova EGMO TST 2023

February 4, 2023
geometry

Problem Statement

Let there be a quadrilateral ABCDABCD such that ∠CAD=45,∠ACD=30,∠BAC=∠BCA=15\angle CAD=45, \angle ACD=30, \angle BAC=\angle BCA=15. Find ∠DBC\angle DBC.
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