Answer:
175°
Step-by-step explanation:
Since, [tex] \overrightarrow{BD} [/tex] is in the interior of [tex] \angle ABC[/tex]
[tex] \therefore m\angle ABC = m\angle ABD + m\angle CBD\\
\therefore (14x + 21)\degree = (2x + 3)\degree + 150\degree \\
\therefore (14x + 21)\degree = (2x + 153)\degree\\
\therefore 14x + 21 = 2x + 153\\
\therefore 14x - 2x = 153 - 21\\
\therefore 12x = 132\\
\therefore x = \frac{132}{12}\\
\therefore x = 11\\\\
m\angle ABC = (14x + 21)\degree\\
m\angle ABC = (14\times 11+ 21)\degree\\
m\angle ABC = (154+ 21)\degree\\
\huge\red {\boxed {m\angle ABC = 175\degree}} \\[/tex]
