Question

WILL GIVE BRAINLIEST ANSWER!!

Answer 1

Answer:

x = 27

Step-by-step explanation:

The line segment at ∠A is an angle bisector, hence the following ratios are equal.

$\frac{AB}{AC }$ = $\frac{10}{14}$

$\frac{x+8}{2x-5}$ = $\frac{10}{14}$ ( cross- multiply )

10(2x - 5) = 14(x + 8) ← distribute parenthesis on both sides

20x - 50 = 14x + 112 ( subtract 14x from both sides )

6x - 50 = 112 ( add 50 to both sides )

6x = 162 ( divide both sides by 6 )

x = 27