Answer:
KJ = 60.
Step-by-step explanation:
Given : Line GJ and HK is the perpendicular bisector.
To find : What is KJ.
Solution : We have given that
GK = 2x + 10.
KJ = 3x -15.
HK is the perpendicular bisector .
Perpendicular bisector : That bisect the line in to two equally parts.
Then GK = KJ.
2x + 10 = 3x -15.
On subtracting 3x from both sides
2x - 3x + 10 = -15.
-x + 10 = -15 .
On subtracting both side by 10 .
-x = - 15 - 10 .
-x = -25 .
On dividing by -1
x = 25 .
KJ = 3x - 15.
Kj = 3 (25) - 15 .
KJ = 75 -15
KJ = 60.
Therefore, KJ = 60.
