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Find the length of diagonal AC

Source: Bulgaria JBMO TST 2018, Day 1, Problem 1

June 25, 2018
geometry

Problem Statement

In the quadrilateral ABCDABCD, we have ∡BAD=100∘\measuredangle BAD = 100^{\circ}, ∡BCD=130∘\measuredangle BCD = 130^{\circ}, and AB=AD=1AB=AD=1 centimeter. Find the length of diagonal ACAC.
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