# What is the value of X?

Mar 17, 2018

$x = 24$

#### Explanation:

These two triangles are similar by the Angle Bisector Theorem. So these steps follow:

1. Set up a proportion
$\frac{44.8}{56} = \frac{x + 4}{35}$

2. Cross multiply
$56 \left(x + 4\right) = 44.8 \cdot 35$
$56 x + 224 = 1568$
$56 x = 1344$
$x = 24$

Mar 17, 2018

$x = 31$

#### Explanation:

Since line ED bisects angle GEH, it also bisects line GH. Therefore, GD=DH
$x + 4 = 35$
$x = 31$