Answer:
x=22
Step-by-step explanation:
Label the intersection point between K and J as H. Similarly, label the intersection point between K and L as M.
The triangle proportionality theorem states that HK/JK=MK/LK.
Substitute the values into the equation above. HK=36-6=30. LK=2x-4+8=2x+4.
30/36=2x-4/2x+4
Now, solve:
30(2x+4)=36(2x-4)
60x+120=72x-144
12x=264
x=22
