Construction Is A Piece Of Cake, Right? (Part-2)

Akshat influenced by Anshuman and took an arbitrary ABC\bigtriangleup ABC and started doing aimless constructions, the steps of which are given below-

(11) He extended ABAB to a point DD such that AD=BCAD=BC.

(22) Then he constructed an ECB\angle ECB which is equal to ABC\angle ABC (EE being any point lying on the opposite side of ADAD).

(33) He then joined BEBE and DCDC which meet each other at XX.

(44) Then he joined AXAX which intersects ECEC at FF.

(55) Next, he joined AEAE and drew parallel to it from FF which meets ACAC at GG.

Akshat then wondered what BGBG could possibly be equal to?


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