Question

If line uw bisects angle tuv,, m angle tue = (13x-5) and angle wuv = (7x+31) find the value of x

Answer 1

The value of x will be 6

Explanation

According to the below diagram, UW is the angle bisector of ∠TUV

That means,  $\angle TUW = \angle WUV$

Given that,  $\angle TUW = 13x-5$ and $\angle WUV= 7x+31$

So, the equation will be......

$13x-5=7x+31\\ \\ 13x-7x=31+5\\ \\ 6x=36\\ \\ x=\frac{36}{6}=6$

So, the value of x will be 6.