1
Question
In the figure, ABCD is a parallelogram in which ∠ADC=105∘,∠CBE is
In the figure, ABCD is a parallelogram in which ∠ADC=105∘,∠CBE is
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Solution
The correct option is B
ABCD is a parallelogram
Therefore, ∠ADC=∠ABC=105∘[ Opposite angles are equal]
∠ABC+∠CBE=180∘ [Linear pair]
∠CBE=180∘−105∘=75∘
Hence, ∠CBE=75∘.
ABCD is a parallelogram
Therefore, ∠ADC=∠ABC=105∘[ Opposite angles are equal]
∠ABC+∠CBE=180∘ [Linear pair]
∠CBE=180∘−105∘=75∘
Hence, ∠CBE=75∘.
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