Question

Cuadrilateral ABCD is a square. Find the value of x_(, )

Answer 1

The value of
`\( x \) is \( 90^\circ \).`

Step-by-step explanation

In a square, all four angles are right angles, each measuring \( 90^\circ \). This characteristic defines a square and sets it apart from other quadrilaterals. Considering the angles in cuadrilateral ABCD, all angles (\( \angle A, \angle B, \angle C, \angle D \)) are
`\( 90^\circ \)`each.

The sum of the interior angles in any quadrilateral is \( 360^\circ \). In the case of a square, with each angle being \( 90^\circ \), the total is
`\( 90^\circ + 90^\circ + 90^\circ + 90^\circ = 360^\circ \).` Therefore, \( x \) in cuadrilateral ABCD is
`\( 90^\circ \).`

This property is fundamental to the geometric definition of a square and holds true in any square configuration, making \( x \) equal to
`\( 90^\circ \)`in this specific cuadrilateral.