Question

Hello, happy Friday, I am just here with some geometry questions.

Answer 1

Answer:

$x=12$

Step-by-step explanation:

Notice that the segment bisects the obtuse angle.

Then by the Angle Bisector Theorem:

$\displaystyle \frac{x-4}{6}=\frac{x}{9}$

Cross-multiply:

$6(x)=9(x-4)$

Distribute:

$6x=9x-36$

So:

$-3x=-36$

Therefore:

$x=12$