Question

What is the value of x?

Enter your answer in the box.

x =

Answer 1

x = 41.

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).

Answer 2

x = 41

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