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The picture shows that the triangle has a little box which means 90 degrees
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•AB || CD
•Transversal t
•EG bisector of ∠BEF
•FG bisector of ∠EFD
⇨ ∠EGF = 90°
∠BEF + ∠EFD = 180° ➜ Interior Angles of a transversal are Supplementary
⇒ ∠BEF / 2 = ∠GEF
⇒ ∠EFD / 2 = ∠GFE
⇒ ∠GEF + ∠GFE = 90°
According to Angle Sum property of a Triangle, Consider ∆EFG
⇒ ∠E + ∠F + ∠G = 180°
⇒ 90 + ∠G = 180
⇒ ∠G = 180 - 90 = 90
⇒ ∠G = 90°
⇨ ∠EGF = 90°
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