Question

The diagonals of a kite intersect at an angle of $x^{\circ }$. Find $x$ (in degrees).

Answer 1

In the given figure, quadrilateral $ABCD$ is a kite.

We know the properties of kite that it has two pair of adjacent sides equal,

i.e. $AB=AC$ and $BD=CD$

One opposite pair of diagonal angle is equal i.e $\angle ABD=\angle ACD$

Diagonals of kite bisect each other at right angle.

If diagonals of a kite intersect at an angle $x^{\circ }$ then,

$x^{\circ }={90}^{\circ }$