Answer:
50 units.
Step-by-step explanation:
It is given that HGJL is a parallelogram and diagonals intersect each other at point K.
[tex]HK=c-7,JK=3c-33,GK=c+12[/tex]
We now that diagonals of parallelogram bisect each other. So,
[tex]HK=JK[/tex]
[tex]c-7=3c-33[/tex]
[tex]33-7=3c-c[/tex]
[tex]26=2c[/tex]
Divide both sides by 2.
[tex]13=c[/tex]
Now,
[tex]GK=c+12=13+12=25[/tex]
Diagonals of parallelogram bisect each other. So,
[tex]GL=2(GK)=2(25)=50[/tex]
Therefore, the measure of GL is 50 units.
