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Answer:
Given-
ABC = 74°, EDC = 38°, BCD = 36°
To Prove-
ED || AB
Proof-
Mark the point where BC and ED meet as G
In ∆GDC–
EDC + BCD + DGC = 180°. [Angle sum property]
38° + 36° + DGC = 180°
74° + DGC = 180°
DGC = 180° - 74°
DGC = 76°
Now, DGC + CGE = 180°. [Linear pair]
76° + CGE = 180°
CGE = 74°
CGE = ABC = 74°
Since, Alternate interior angles are equal
Therefore, ED || AB
Hence Proved.