Question

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

Answer 1

C. 6

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:

`(8)/(x) = (4)/(3)`

Cross multiply

`x*4 = 8*3`

`4x = 24`

Divide both sides by 4

`x = (24)/(4)`

`x = 6`