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Find the measure of the angle

Source: Cyprus 2022 Junior TTS-3 Problem 2

March 26, 2022
geometry

Problem Statement

In a triangle ABCABC with A^=80∘\widehat{A}=80^{\circ} and B^=60∘\widehat{B}=60^{\circ}, the internal angle bisector of C^\widehat{C} meets the side ABAB at the point DD. The parallel from DD to the side ACAC, meets the side BCBC at the point EE. Find the measure of the angle ∠EAB\angle EAB.
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