Answer:
will make the equation true
Step-by-step explanation:
Given


Required
Which is true for x
We have:

Collect like terms


Solve for x


Answer:
x = -2
Step-by-step explanation:
The tangent line has length "x + 8"
The secant line has length "x + 6 + 5", where
5 is the inner part
x + 6 is the outer part
Now,
the secant-tangent theorem tells us that square of the tangent line is equal to the outer segment of secant line multiplied by length of whole secant line.
So, we can say:

We can solve for x shown below:

The value of x is -2
I'll just name the lines as A, B, C, D, E.
A : Corresponding angles
B : Alternate Interior angles
C : Co - Interior angles
D : Vertical angles
E : Alternate Exterior angles