Explanation:
Use segment addition/subtraction:
GK = GJ − HJ + HK
GK = 2x + 5 − x + 4x − 1
GK = 5x + 4
If GK = 39, then the value of x is:
39 = 5x + 4
5x = 35
x = 7
Use segment subtraction to find GH and JK.
GH = GJ − HJ
GH = 2x + 5 − x
GH = x + 5
GH = 12
JK = HK − HJ
JK = 4x − 1 − x
JK = 3x − 1
JK = 20