Answer:
Step-by-step explanation:
Line DE is parallel to line AG.
Also, triangle ABG is similar to triangle to triangle DBE.
Therefore,
AB/DB = GB/EB = AG/DE
AB = 5 + 6 = 11
GB = 9 + x
Therefore,
11/6 = (9 + x)/9
Cross multiplying, it becomes
11 × 9 = 6(9 + x)
99 = 54 + 6x
Subtracting 54 from the Left hand side and the right hand side of the equation, it becomes
54 - 54 + 6x = 99 - 54
6x = 45
Dividing the Left hand side and the right hand side of the equation by 6, it becomes
6x/6 = 45/6
x = 7.5
