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 $50^{\circ}$

Given: $∠ A D E = 50^{\circ}$

Here, AD||BC (Opposite sides of square) and DE acts as the transversal.

$\Rightarrow ∠ A D E = ∠ D E C$ (Alternate interior angles are equal)
$\Rightarrow ∠ D E C = x = 50^{\circ}$

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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 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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