Question

What is the value of x?

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x =

Answer 1

Answer:

x = 41

Step-by-step explanation:

Use the triangle angle bisector theorem.

EG/GD = EH/HD

49/35 = 58.8/(x + 1)

49(x + 1) = 35 * 58.8

49x + 49 = 2058

49x = 2009

x = 41

Answer 2

Answer:

x = 41.

Step-by-step explanation:

The line segment ED bisects angle GEH so:

49 / 58.8 = 35 / (x + 1)

49 (x + 1) = 58.8 * 35

49x = 58.8*35  - 49

x =  ( 58.8*35  - 49) / 49

= 41  (answer).