Question

Help!! Need Some Homework Help ASAP!

Answer 1

Answer:

175°

Step-by-step explanation:

Since, $\overrightarrow{BD}$ is in the interior of $\angle ABC$

$\therefore m\angle ABC = m\angle ABD + m\angle CBD\\\therefore (14x + 21)\degree = (2x + 3)\degree + 150\degree \\\therefore (14x + 21)\degree = (2x + 153)\degree\\\therefore 14x + 21 = 2x + 153\\\therefore 14x - 2x = 153 - 21\\\therefore 12x = 132\\\therefore x = \frac{132}{12}\\\therefore x = 11\\\\m\angle ABC = (14x + 21)\degree\\m\angle ABC = (14\times 11+ 21)\degree\\m\angle ABC = (154+ 21)\degree\\\huge\red {\boxed {m\angle ABC = 175\degree}}$