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Byju's Answer

Standard XII

Mathematics

Condition for Two Lines to Be Parallel

In the given ...

Question

In the given figure, $∠ B = 65^{o}$ and $∠ C = 45^{o}$ in $△ A B C$ and $D A E | | B C$ . If $∠ D A B = x^{o}$ and $∠ E A C = y^{o}$ and $∠ E A C = y^{o}$ , find the values of $x$ and $y$ .

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Solution

$\begin{matrix} ∠ x = 65^{0} ∠ y = 45^{0} (a l t e r n a t i n g a n g l e) b e c a u s e D A E ∥ B C \end{matrix}$

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Similar questions

In the given figure, $∠ B = 65^{\circ}$ and $∠ C = 45^{\circ}$ in $Δ A B C$ and $D A E ∥ B C$ . If $∠ D A B = x^{\circ}$ and $∠ E A C = y^{\circ}$ , find the values of $x$ and $y$ .

Q. In the given figure,

∠ B A D = 75^{o}

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and

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In the given figure, ∠B=65o and ∠C=45o in △ABC and DAE||BC. If ∠DAB=xo and ∠EAC=yo and ∠EAC=yo, find the values of x and y.

∠x=650∠y=450(alternatingangle)becauseDAE∥BC

In the given figure, $∠ B = 65^{o}$ and $∠ C = 45^{o}$ in $△ A B C$ and $D A E | | B C$ . If $∠ D A B = x^{o}$ and $∠ E A C = y^{o}$ and $∠ E A C = y^{o}$ , find the values of $x$ and $y$ .

$\begin{matrix} ∠ x = 65^{0} ∠ y = 45^{0} (a l t e r n a t i n g a n g l e) b e c a u s e D A E ∥ B C \end{matrix}$