Question

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

Answer 1

From the picture you can see that TY bisects angle T.

Use the bisector property:

$\dfrac{TK}{KY} =\dfrac{TV}{VY}$.

If YK=68 mm and VK=x mm, then VY=x-68 mm.

Then $\dfrac{129.2}{68} =\dfrac{57}{x-68}$.

Express x-68:

$x-68=\dfrac{57\cdot 68}{129.2}=30$ mm.

Therefore, x=30+68=98 mm.

Answer: x=98 mm.