What is the value of x?
Enter your answer, as a decimal, in the box. Do not round your answer.
x=

The value of x is

Explanation:

Since, from the figure we can see that, a ray bisects the angle of a triangle.

Then, the angle bisector theorem states that, "if a ray bisects an angle of a triangle, then it divides the opposite sides of the triangle into segments that are proportional to the other two sides".

Thus, we have,

where and

Substituting the values, we get,

Simplifying, we have,

Dividing both sides by 4,

Thus, the value of x is

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