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Question

In the figure, ABCD is a quadrilateral in which \(\angle ADC=105^\circ ~and~ \angle ADC=~\angle ABC. Find \angle CBE\).


A
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B
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C
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D
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Solution

The correct option is B

Given ADC = 105 and ADC= ABC

ABC =105
ABC+CBE=180 (exterior angle+interior angle=180)
CBE=180105=75
Hence, CBE=75.


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