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

Step-by-step 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=(36)/(6)=6`

So, the value of x will be 6.