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

What is the value of x? Enter your answer in the box.-example-1
User Miad Abdi
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1 Answer

3 votes

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

Use the bisector property:


(TK)/(KY) =(TV)/(VY).

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

Then
(129.2)/(68) =(57)/(x-68).

Express x-68:


x-68=(57\cdot 68)/(129.2)=30 mm.

Therefore, x=30+68=98 mm.

Answer: x=98 mm.

User Vahid Farahmand
by
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