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

Mathematics
WAEC 1995

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
  • E. 90o
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Correct Answer: Option E
Explanation
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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