The value of x will be 6
Explanation
According to the below diagram, UW is the angle bisector of ∠TUV
That means, [tex]\angle TUW = \angle WUV[/tex]
Given that, [tex]\angle TUW = 13x-5[/tex] and [tex]\angle WUV= 7x+31[/tex]
So, the equation will be......
[tex]13x-5=7x+31\\ \\ 13x-7x=31+5\\ \\ 6x=36\\ \\ x=\frac{36}{6}=6[/tex]
So, the value of x will be 6.
