What is the length of line segment dg
a)4units
b)7units
c)12units
d)23units

Option 'C' is correct.

Step-by-step explanation:

Since we have given that

EF and DG are two secants intersects at G.

EF = x

FG = 6

EG = x+6

DH = x+3

GH = 5

DG = x+3+5=x+8

And we know the "Intersecting Secant theorem", which concludes that the product of their segments will be equal to each other.

But we need to find the value of DG which is given by

Hence, Option 'C' is correct.