Question

The triangles are similar, and the angle bisectors are drawn from corresponding angles. what is the value of x?

Answer 1

Answer:

C. 6

Step-by-step explanation:

Given that both ∆s are similar, the ratio of their corresponding sides as well as the ratio of their angle bisectors would be the same.

Therefore, from the figure given, we have:

$\frac{8}{x} = \frac{4}{3}$

Cross multiply

$x*4 = 8*3$

$4x = 24$

Divide both sides by 4

$x = \frac{24}{4}$

$x = 6$