Question

plzz tell the answr of this question fstttt...
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Answer 1

$\huge\sf\pink{Answer}$

☞ Value of x is 45° & y is 90°

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$\huge\sf\blue{Given}$

✭ ∠DAE = 90°

✭ ∠ABC & ∠ACB are equal and are mentioned as x

✭ ∠BAC is mentioned as y

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$\huge\sf\gray{To \:Find}$

◈ The value of x & y?

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$\huge\sf\purple{Steps}$

$\sf\large\underline{\underline{\sf Concept}}$

»» Vertically Opposite Angles are equal

»» Angles in a traingle add up to 180°

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So here we may see that,

➝ $\sf \angle DAE = \angle BAC \:\:\: \bigg\lgroup\sf Vertically \ Opposite\bigg\rgroup$

➝ $\sf 90^{\circ} = \angle{BAC}$

➝ $\sf\red{y=90^{\circ}}$

Similar we know that in a ∆ all the Angles add up to 180°

➳ $\sf\angle BAC + \angle ABC + \angle ACB = 180^{\circ}$

➳ $\sf 90^{\circ} = x + x = 180^{\circ}$

➳ $\sf 2x = 180^{\circ}-90^{\circ}$

➳ $\sf 2x = 90^{\circ}$

➳ $\sf x = \dfrac{90}{2}$

➳ $\sf \orange{x=45^{\circ}}$

$\sf\star\: Diagram\:\star$

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