Question

What is the value of x?

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Answer 1

34/95.2 = YK/168
YK = 168 * 34 /95.2
YK = 60

x = 34 + YK
x = 34 + 60
x = 94

answer
x = 94 cm

Answer 2

Segment TX bisects angle T

So the "Angle Bisector" Theorem says that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.

So according to the angle bisector theorem in triangle VTK,

`(VT)/(TK) = (VY)/(YK)`

`(95.2)/(168) = (34)/(YK)`

cross multiply

`95.2* (YK) = 168 * 34`

`95.2* (YK)` = 5712

To find YK, divide both side by 95.2

`(95.2* (YK) )/(95.2) = (5712)/(95.2)`

YK = 60

VK = x = VY + YK

x = 34 + 60

x = 94 cm