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angle chasing around a square, congruent triangles given

Source: Sharygin 2006 VIII-X CR 7

August 22, 2019
geometrysquareAngle Chasingcongruent triangles

Problem Statement

The point EE is taken inside the square ABCDABCD, the point FF is taken outside, so that the triangles ABEABE and BCFBCF are congruent . Find the angles of the triangle ABEABE, if it is known thatEFEF is equal to the side of the square, and the angle BFDBFD is right.
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