softballgirl6216 softballgirl6216
  • 21-09-2018
  • Mathematics
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If line uw bisects angle tuv,, m angle tue = (13x-5) and angle wuv = (7x+31) find the value of x

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Sicista Sicista
  • 30-09-2018

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.

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