Given:
A figure of a triangle.
To find:
The value of x.
Solution:
In a triangle, angle bisectors intersect each other at a point which is know as incenter. This point is equidistance form the each side.
Using the above property, we get
[tex]4x-2=6x-8[/tex]
[tex]4x-6x=2-8[/tex]
[tex]-2x=-6[/tex]
Divide both sides by -2.
[tex]x=\dfrac{-6}{-2}[/tex]
[tex]x=3[/tex]
Therefore, the value of x is 3.
