Question

10
find the values of x and y in the kite shown
below.

x=

y=

Explanation:

Step1: Determine the value of \( x \)

In a kite, the diagonals are perpendicular to each other. So the angle between the diagonals is \( 90^\circ \). Thus, \( x = 90 \).

Step2: Determine the value of \( y \)

In a kite, one pair of opposite angles are equal, and the triangles formed by the diagonals are congruent in some cases. Also, the triangles on the left (the two triangles with angle \( 56^\circ \) and \( y^\circ \)) are congruent because the adjacent sides of a kite are equal and the diagonal is common. So the angles \( 56^\circ \) and \( y^\circ \) are equal. Thus, \( y = 56 \).

Answer:

\( x = 90 \), \( y = 56 \)