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

Geometry Level 5

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

($$1$$) He extended $$AB$$ to a point $$D$$ such that $$AD=BC$$.

($$2$$) Then he constructed an $$\angle ECA$$ which is equal to $$\angle ABC$$ ($$E$$ being any point lying on the opposite side of $$AD$$).

($$3$$) He then joined $$BE$$ and $$DC$$ which meet each other at $$X$$.

($$4$$) Then he joined $$AX$$ which intersects $$EC$$ at $$F$$.

($$5$$) Next, he joined $$AE$$ and drew parallel to it from $$F$$ which meets $$AC$$ at $$G$$.

Akshat then wondered what $$BG$$ could possibly be equal to?

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