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option B is correct

Step-by-step explanation:

option B is correct

From the given figure we can prov that the ΔAEI is similar to the ΔDEH by using AA postulate.

1) On observing  we say that ∠AEI= ∠DEH because the vertically opposite angles are congruent to each other.

2)  If we rotate triangle HED by 180° around point E, then translate point D to point A then ∠IAE= ∠HDE

since two angles are equal we say that  ΔAEI is similar to the ΔDEH by AA postulate