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#