Answer:
JK = 20
Step-by-step explanation:
Angle Bisector Theorem: an angle bisector of a triangle divide the opposite side into two segments that are proportional to the other two sides of the triangle
LK / JK = LM / JM
(45 - JK) / JK = 75 / 60 = 5 / 4
5 JK = 4 (45 - JK)
5 JK = 180 - 4 JK
9 JK = 180
JK = 20
