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Question

In the figure, ABCD is a parallelogram in which ADC=105. The value of CBE is ______.

A
105
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B
75
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C
55
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D
90
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Solution

The correct option is B 75

ABCD is a parallelogram
Therefore, ADC=ABC=105[Opposite angles of a parallelogram are equal]
ABC+CBE=180 [Linear pair]
CBE=180105=75
Hence, CBE=75.

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