Question

prove the kites have a pair of congruent opposite angles given kits is a kiteprove angle kit is congruent to angle KET

Answer 1

Let us make a drawing to understand the situation:

By the definition of kites, we have that the red sides are congruent (namely, they have the same length), and the black sides are congruent as well. Then, the triangles

$\bigtriangleup ABD\cong\bigtriangleup CBD$

are congruent (SSS criteria). When two triangles are congruent, corresponding angles are congruent as well. Then, for angle A and angle C are corresponding angles, we have

$\measuredangle A\cong\leq C$