The value of x is 14.
We have to determine, the value of x.
According to the question,
When two secants of a circle intersect each other at a point outside the circle then the product of the length of one whole secant segment and its external segment is equal to the product of the other whole secant segment and its external segment.
This is also known as the intersecting secants theorem. When Two Secants Intersect Outside the Circle.
Therefore,
[tex]\rm x \times45 = 15 \times (15+27)\\\\45x = 15 \times (42)\\\\x =\dfrac{15\times42}{45}\\\\x = \dfrac{1\times 42}{3}\\\\x = {1\times14}\\\\x = 14[/tex]
Hence. The required value of x is 14.
For more details refer to the link given below.
https://brainly.com/question/18188038
