In the given figure, ABCD is a square. Then the value of 'x' is

$50^{\circ}$

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$40^{\circ}$

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$35^{\circ}$

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$130^{\circ}$

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Solution

The correct option is A
$50^{\circ}$

AD||BC (Opposite sides of square)
$\Rightarrow ∠ D E C = ∠ A D E$ (Alternate interior angles)
$\Rightarrow x = 50^{\circ}$

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Similar questions

A B | | C D, ∠ A P Q = 50^{\circ} a n d ∠ P R D = 127^{\circ}

In the given figure ABCD is a square, then the value of 'x' is

In the given figure, AB||CD. If $∠ A P Q = 70^{\circ}$ and $∠ P R D = 120^{\circ}$ then $∠ Q P R = ?$

$(a) 50^{\circ}$

$(b) 60^{\circ}$

$(c) 40^{\circ}$

$(d) 35^{\circ}$

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