Answer:
lK = KE = 23cm
LI = LE = 27cm
Explanation:
perimeter of kite LIKE =80cm
If IK=x cm
 LI=(x-6) cm
Perimeter =2(a+b) 
 80 = 2(x+(x-6))
 80 = 2(x+x-6)
 80 = 2(2x-6)
 80/2 = 2x-6
 40 = 2x-6
 2x = 40+6
 2x = 46
 x =46/2
 x = 23
therefore,IK = 23cm
 LI = 23-6 = 27cm