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In the diagram above AB CD the bisector of BAC ... - WAEC Mathematics 1995 Question

In the diagram above, AB//CD, the bisector of ∠BAC and ∠ACD meet at E. Find the value of ∠AEC

A
30o
B
45o
C
60o
D
75o
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Correct Option: E

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

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