What is the value of X?

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2 Answers
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
    44.8/56= (x+4)/35

  2. Cross multiply
    56(x+4)= 44.8*35
    56x+224 = 1568
    56x=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