In the given figure- AB - DE- -A - 430 and -BDE - 570- The value of -x is - 34-43-57-75-

The correct option is C 57^∘It is given that nbsp;AB || DE. Then, BD is the transversal. We know, nbsp;alternate interior angles are equal. Therefore, ∠ABD ...

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Standard VII

Mathematics

Angles Associated with Two Parallel Lines and a Transversal

In the given ...

Question

In the given figure, AB || DE. ∠A = 43⁰ and ∠BDE = 57⁰. The value of ∠x is ________.

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Solution

The correct option is B 57 $^{\circ}$
It is given that AB || DE.
Then, BD is the transversal.
We know, alternate interior angles are equal.
Therefore, $∠$ ABD = $∠$ x = 57 $^{\circ}$ (alternate interior angles)

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In the given figure, AB || DE. ∠A = 430 and ∠BDE = 570. The value of ∠x is ________.

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)

In the given figure, AB || DE. ∠A = 43⁰ and ∠BDE = 57⁰. The value of ∠x is ________.

The correct option is B 57 $^{\circ}$
It is given that AB || DE.
Then, BD is the transversal.
We know, alternate interior angles are equal.
Therefore, $∠$ ABD = $∠$ x = 57 $^{\circ}$ (alternate interior angles)