Question

What is value of x? Enter your answer in the box. x =

Answer 1

Answer:

x = 10

Step-by-step explanation:

Since the line from A is an angle bisector the following ratios are equal

$\frac{AB}{AC}$ = $\frac{x+4}{2x+1}$, that is

$\frac{8}{12}$ = $\frac{x+4}{2x+1}$ ( cross- multiply )

8(2x + 1) = 12(x + 4) ← distribute both sides )

16x + 8 = 12x + 48 ( subtract 12x from both sides )

4x + 8 = 48 ( subtract 8 from both sides )

4x = 40 ( divide both sides by 4 )

x = 10