In the given figure, AB || DE. ∠A = 430 and ∠BDE = 570. The value of ∠x is ________.
A
43∘
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B
57∘
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C
34∘
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D
75∘
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Solution
The correct option is B 57∘
It is given that AB || DE. Then, BD is the transversal. We know, alternate interior angles are equal. Therefore, ∠ABD = ∠x = 57∘ (alternate interior angles)