Question

What is the value of x? Enter your answer in the box. mm

Answer 1

Answer:

$x=98$

Step-by-step explanation:

We have been given that diagram of a triangle. We are asked to find the value of the x.  

We will use angle bisector theorem to solve for x. Angle bisector theorem states, when a line segment bisects an angle of a triangle, then it divides opposite into segments that are proportional to each other.

We can set a proportion as:

$\frac{VY}{TV}=\frac{KY}{TK}$

$\frac{VY}{57}=\frac{68}{129.2}$

$\frac{VY}{57}\times 57=\frac{68}{129.2}\times 57$

$VY=30$

Now we will add the lengths of VY and YK to find the value of x.

$x=VY+YK$

$x=30+68$

$x=98$

Therefore, the value of x is 98 mm.