Answer:
The value of x = 9
Step-by-step explanation:
Angle Bisector Theorem
An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.
Thus,
[tex]\frac{x}{15}=\:\frac{12}{20}[/tex]
Cross Multiply the expression
[tex]\:20\times x=12\times 15[/tex]
Divide both sides by 20
[tex]\frac{20x }{20}=\frac{180}{20}[/tex]
[tex]x=9[/tex]
Therefore, the value of x = 9
