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What is the value of x?



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

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Answer:


x=5

Explanation:

We have been given a triangle. We are asked to find the value of x for our given triangle.

We can see that measures of both angles with red mark are equal.

The angle bisector theorem states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.

Using angle bisector theorem, we can set an equation as:


(3x)/(15)=(2x-1)/(9)


15(2x-1)=3x(9)


30x-15=27x


30x-27x-15=27x-27x


3x-15=0


3x-15+15=0+15


3x=15


(3x)/(3)=(15)/(3)


x=5

Therefore, the value of x is 5.

User Praj
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