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

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

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

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Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE

A 30^o
B 45^o
C 60^o
D 75^o
E 90^o

Correct Answer: Option E

Explanation:

Ae is a bisector of BAC => EAC = 45^o
CE is the bisector of ACD => ACE = 45^o
AEC = 180^o - [EAC + ACE]
= 180^o - (45^o + 45^o) = 180^o - 90^o = 90^o

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