Answer:
[tex]x=5.5[/tex]
Step-by-step explanation:
[tex]EB\ and\ DC\ are\ parallel\ lines\ so\ corresponding\ angles\ will\ be\ equal\\\\\angle AEB=\angle ADC,\ \ \ \ \ \ \angle ABE=\angle ACD\\\\Now\ in\ \triangle ABE\ and\ \triangle ACD\\\\\angle A=\angle A,\ AEB=\angle ADC,\ \angle ABE=\angle ACD\\\\By\ AAA\ these\ two\ are\ similar\ triangle\\\\\frac{AE}{AD}=\frac{AB}{AC}\ ...........(1)\\\\AE=10,\ AD=AE+ED=10+8=18\\\\AB=x,\ AC=10\\\\\frac{10}{18}=\frac{x}{10}\ \ \ \ \ \ \ (from\ equation\ 1)\\\\x=\frac{10\times 10}{18}\\\\[/tex]
[tex]x=\frac{50}{9}\approx 5.5[/tex]
