Question

How many pair(s) of diagonally opposite angles are equal in a kite?

• A. $1$
• B. $2$
• C. No pair of angles are equal
• D. All angles are equal

Answer 1

The correct option is A $1$

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

We know the properties of kite, that the two pairs of adjacent sides are equal i.e $AB=AC$ and $BD=CD$

Also, diagonals of kite bisect each other at right angle and one pair of diagonally opposite angles are equal

$\therefore$ $\angle ABD=\angle ACD$