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Question

In the given diagram, equilateral triangle EAB surmounts square ABCD. Find the the measure of AEC.

A
30
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B
15
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C
45
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D
25
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Solution

The correct option is C 45
In BCE
BCE+BEC+CBE=180
[BE=BCBCE=BEC]
And,
Since EAB is equilateral and ABCD is square,
CBE=90+60=150
2BEC+150=180BEC=15
Since EAB is equilateral,
AEB=60AEC+BEC=60AEC=6015=45

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