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Earlier discussion
1 older comment kept for context.
Oluwaseun Adeyemi
Ae is a bisector of BAC => EAC = 45o
CE is the bisector of ACD => ACE = 45o
AEC = 180o - [EAC + ACE]
    = 180o - (45o + 45o) = 180o - 90o = 90o