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Question

B lies on ¯¯¯¯¯¯¯¯AC,¯¯¯¯¯¯¯¯¯BD bisects ABE, and ¯¯¯¯¯¯¯¯BE bisects CBD as shown in the above figure. Find the measure of DBE.
484280_d29aa40cb58448f19894fc17445bcc95.png

A
90
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B
60
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C
45
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D
30
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E
Cannot be determined from the given information
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Solution

The correct option is B 60
DBE=ABE2=CBE2
Hence CBE=ABE
ABD+DBE=CBE+DBE
ABD=CBE
ABD+DBE+CBE=1800
2ABD+DBE=1800
ABE+DBE=1800
2DBE+DBE=1800
3DBE=1800
DBE=600

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