The length of MN will be 11.
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 MN.
Thus, we have
(2x -7 + 9) 9 = (8 +10 )10
(2x +2 )9 = 180
x + 1 = 10
x = 9
Therefore, the length of MN is 11.
Learn more about the circle here;
https://brainly.com/question/11833983
#SPJ1
