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.
(see picture)

Answer 1

x = 6

y = 4

Explanation:

Apply the angle bisector theorem to solve for x and y respectively.

✔️4/(9 - x) = 8/x

Cross multiply

4*x = 8(9 - x)

4x = 72 - 8x

Add 8x to both sides

4x + 8x = 72

12x = 72

12x/12 = 72/12

x = 6

✔️y/2 = 6/3

Cross multiply

3*y = 6*2

3y = 12

3y/3 = 12/3

y = 4