Question

Find the value of each variable.

Simplify your answers as much as possible.

If necessary, you may learn what the markings on a figure indicate.

Answer 1

x = 3

y = 6

Explanation:

Apply the angle bisector theorem to find both variables.

Based on the theorem, we would have the following:

✔️x/2 = 6/4

Cross multiply

x*4 = 6*2

4x = 12

4x/4 = 12/4

x = 3

✔️9/y = 3/(8 - y)

Cross multiply

9(8 - y) = 3*y

72 - 9y = 3y

72 = 3y + 9y

72 = 12y

72/12 = 12y/12

6 = y

y = 6