Correct Answer: Option D

Explanation

∠BAC = 90°

∠ACD = 90° if AE and CE are the bisectors of ∠BAC and ∠ACD respectively ∠BAE = 45°; ∠DCE = 45°

∴ ∠EAC = ∠ECA = 45°

But ∠EAC + ∠ACE + ∠AEC = 180° (angle in a △)

∴ 45° + 45° + ∠AEC = 180°

∠AEC = 180° - 90°

∠AEC = 90°

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