1
Question
In the given figure, AB || DE.
∠A=43∘ and ∠BDE=57∘.
The value of x is ________.
In the given figure, AB || DE.
∠A=43∘ and ∠BDE=57∘.
The value of x is ________.
43
57
34
75
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Solution
The correct option is B 57
It is given that the lines AB and DE are parallel.
When two parallel lines are cut by a transversal, alternate interior angles formed are equal.
Therefore, ∠ABD = ∠x = 57∘ (alternate interior angles)
57
It is given that the lines AB and DE are parallel.
When two parallel lines are cut by a transversal, alternate interior angles formed are equal.
Therefore, ∠ABD = ∠x = 57∘ (alternate interior angles)
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