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angle wanted, square and isosceles related

Source: 2022 May Olympiad L2 p3

September 4, 2022
geometryangles

Problem Statement

Let ABCDABCD be a square, EE a point on the side CDCD, and FF a point inside the square such that that triangle BFEBFE is isosceles and ∠BFE=90o\angle BFE = 90^o . If DF=DEDF=DE, find the measure of angle ∠FDE\angle FDE.
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