MathDB

7

Part of 2006 Sharygin Geometry Olympiad

Problems(1)

angle chasing around a square, congruent triangles given

Source: Sharygin 2006 VIII-X CR 7

8/22/2019
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.
geometrysquareAngle Chasingcongruent triangles