The length of YZ will be 17.5.
What is a circle?
A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
The tangent theorem of a circle states that a line is said to be tangent if it's perpendicular to the circle drawn to the point of tangency.
WE know that (A + B) B = (C +D) D
We have to find the measure of YZ .
Thus, we have
(2x + 12 + 6) 6 = (x + 3 +10 )10
(2x +18 )6 = (x + 13)10
(x + 9)12 = (x + 13)10
(x + 9)6 = (x + 13)5
6x + 54 = 10x + 65
4x = 11
x = 2.75
Therefore, the length of YZ is 17.5
Learn more about the circle here;
https://brainly.com/question/11833983
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