Answer:
Option (B)
Step-by-step explanation:
From the figure attached,
ΔBCD and ΔACE are the similar triangles.
Therefore, by the property of similar triangles, corresponding sides of these similar triangles will be proportional.
[tex]\frac{AC}{BC}= \frac{EC}{DC}[/tex]
[tex]\frac{AB+BC}{BC}= \frac{ED+DC}{DC}[/tex]
[tex]\frac{AB+6}{6}= \frac{24+8}{8}[/tex]
[tex]\frac{AB+6}{6}= \frac{32}{8}[/tex]
[tex]\frac{AB+6}{6}=4[/tex]
AB + 6 = 24
AB = 18
Option (B) will be the answer.
