![x=27](/tpl/images/0897/9555/0de80.png)
Step-by-step explanation:
Notice that Angle A is being bisected.
Hence, we can use the Angle Bisector Theorem to write the following proportion:
![\frac{x+8}{10}=\frac{2x-5}{14}](/tpl/images/0897/9555/db9c8.png)
Solve for x. Cross-multiply:
![10(2x-5)=14(x+8)](/tpl/images/0897/9555/15aef.png)
Distribute:
![20x-50=14x+112](/tpl/images/0897/9555/30b40.png)
Subtract 14x from both sides:
![6x-50=112](/tpl/images/0897/9555/83d69.png)
Add 50 to both sides:
![6x=162](/tpl/images/0897/9555/591bc.png)
Divide both sides by 6. Hence, the value of x is:
![x=27](/tpl/images/0897/9555/0de80.png)
![20 POINTS. PLZ HELP
What is value of x?
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x=](/tpl/images/0897/9555/0b21d.jpg)