Answer:
Final answer is [tex]x=9[/tex].
Step-by-step explanation:
we know that if BD is angle bisector of angle B in triangle ABC then
[tex]\frac{AB}{BC}=\frac{AD}{DC}[/tex]
[tex]\frac{36}{28}=\frac{x}{DC}[/tex]
[tex]\frac{36}{28}=\frac{x}{16-x}[/tex]
[tex]\frac{9}{7}=\frac{x}{16-x}[/tex]
cross multiply
[tex]7x=9(16-x)[/tex]
[tex]7x=144-9x[/tex]
[tex]7x+9x=144[/tex]
[tex]16x=144[/tex]
[tex]x=\frac{144}{9}[/tex]
[tex]x=9[/tex]
Hence final answer is [tex]x=9[/tex].
