Question

In the given figure, ABCD is a square. The value of 'x' is equal to:

• A. ${50}^{\circ }$
• B. ${40}^{\circ }$
• C. ${35}^{\circ }$
• D. ${130}^{\circ }$

Answer 1

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


Given: $\angle ADE={50}^{\circ }$

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

$\Rightarrow \angle ADE=\angle DEC$ (Alternate interior angles are equal)
$\Rightarrow \angle DEC=x={50}^{\circ }$