For what value of $x$ will $△ A B C$ be congruent to $△ X Y Z$ ?

x = 50^{\circ}

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x = 60^{\circ}

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x = 40^{\circ}

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x = 30^{\circ}

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Solution

The correct option is C $x = 40^{\circ}$

Given, $∠ A = 40 °$ .
In $△$ ABC and $△$ XYZ,
$∠ B = ∠ Y = 90 °$
$A B = X Y = 8 cm$
For $△$ ABC to be congruent to $△$ XYZ,
$∠ A = ∠ X = 40 °$ .
$Then, △$ ABC $≅$ $△$ XYZ $\dots$ (by ASA criterion)
$\Rightarrow x = 40^{\circ}$

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Similar questions

For what value of x will $△ A B C ≅ △ X Y Z$ ?

If $△ A B C$ and $△ X Y Z$ are right-angled triangles, right angled at B and Y respectively, then for what value of x will $△ A B C$ be congruent to $△ X Y Z$ ?

For what value of x will $△ A B C ≅ △$ XYZ ?

Q. For what value of

x

(in degrees) will

△ A B C ≅ △ X Y Z

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For what value of x will △ABC be congruent to △XYZ ?

The correct option is C x=40∘ Given, ∠A=40°. In △ABC and △XYZ, ∠B=∠Y=90° AB=XY=8 cm For △ABC to be congruent to △XYZ, ∠A=∠X=40°. Then, △ABC ≅ △XYZ ⋯ (by ASA criterion) ⇒x=40∘

For what value of $x$ will $△ A B C$ be congruent to $△ X Y Z$ ?

The correct option is C $x = 40^{\circ}$

Given, $∠ A = 40 °$ .
In $△$ ABC and $△$ XYZ,
$∠ B = ∠ Y = 90 °$
$A B = X Y = 8 cm$
For $△$ ABC to be congruent to $△$ XYZ,
$∠ A = ∠ X = 40 °$ .
$Then, △$ ABC $≅$ $△$ XYZ $\dots$ (by ASA criterion)
$\Rightarrow x = 40^{\circ}$