Answer:
x = 4
Step-by-step explanation:
the segment inside the triangle is an angle bisector and divide the opposite side into segments that are proportional to the other two sides, that is
[tex]\frac{x}{x+4}[/tex] = [tex]\frac{x+6}{2x+12}[/tex] = [tex]\frac{x+6}{2(x+6)}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = x + 4 ( subtract x from both sides )
x = 4
