The value of
is 4.
By Geometry, we know that line segment
, which is equivalent to:

(1)
Now we solve algebraically the resulting expression.
If we know that
, then we solve the equation for
:



The value of
is 4.
We kindly invite to see this question on line segments: brainly.com/question/23297288
The answer is 150 because 30+150=180
-24/4=-6
x^-7x+6=0
(x-6)(x-1)=0
x=6 or x=1