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Question

ABCD is a square and BCE is an equilateral triangle. Find the value of a,b and reflex BED
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A
20o,70o,230o
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B
18o,72o,210o
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C
15o,75o,225o
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D
25o,65o,210o
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Solution

The correct option is C 15o,75o,225o
ABCD is a square and BCE is an equilateral triangle
CEB=EBC=ECB=600
Since ABCD is a square,
DCB=900
Now DCB=DCE+ECB
900=DCB+600
DCE=300
Now in triangle DCE,,
EC=DC
CDE=DEC=x (let)
Again, EDC+DEC+DCE=1800
x+x+360=180
2x=150
x=7560
b=750
Now, ADC=900
ADE+EDC=900
a+750=900
a=150
Now, reflex BED=36060BED
3600(DEC+BEC)
3600(750600)
360013560
2250

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