Answer:
x = 21
Step-by-step explanation:
Δ EAB and Δ ECD are similar by the AA postulate , then the ratios of corresponding sides are in proportion, that is
[tex]\frac{AB}{CD}[/tex] = [tex]\frac{EB}{ED}[/tex] , substitute values
[tex]\frac{x}{28}[/tex] = [tex]\frac{27}{27+9}[/tex] = [tex]\frac{27}{36}[/tex] ( cross- multiply )
36x = 756 ( divide both sides by 36 )
x = 21
