Calculate JK if LJ=45, JM=60 and LM=75

LJ is cut in half by KM

1/2 LJ = JK

1/2 (45) = 22.5 units

We  have  the following relationship  set up by the bisected angle LMJ

JM  /LM   = JK/ KL

60  /75  = JK / KL

4/5  = JK / KL

JK   =  (4)  /(4 + 5) LJ  =    (4/9) (45)  =  20