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

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

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Standard VIII

Mathematics

Parallel lines with 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 A 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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Similar questions

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(ii) Quadrilateral BEFC is a parallelogram

(iii) AD || CF and AD = CF

(iv) Quadrilateral ACFD is a parallelogram

(v) AC = DF

(vi) ΔABC ≅ ΔDEF.

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

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Δ A B C a n d Δ D E F

, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B, and C are joined to vertices D, E and F respectively ( see the given figure). Then, quadrilateral ACFD:

In the given figure, AB || DE. $∠$ A = 43 $^{\circ}$ and $∠$ BDE = 57 $^{\circ}$ . The value of $∠$ B is ________.

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

The correct option is A 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 A 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)