Question

In the answer to the question

Answer 1

GL=10

x=7

this is formula when the KL in mipoint of both lines

that means HJ=LJ

and HK=KG

when you see this that means

2KL=GJ

150-20x=x+3

147=21x

x=7

and he want GL measure

so 7+3=10

hopefully its helpful and correct

have a great day

Answer 2

KL=1/2*GJ

75-10x=1/2*x+3

2(75-10x)=x+3

150-20x=x+3

150-3=x+20x

147=21x

147/21=x

7=x

substitute the value of GJ

x+3

7+3

10

Explanation:

Note :KL=1/2*GK because the the straight line joining the mid points of two sides of a triangle is parallel to the third side and equal to half of it.