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KengaRu [80]
3 years ago
13

Help!! Need Some Homework Help ASAP!

Mathematics
1 answer:
ki77a [65]3 years ago
3 0

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}} \\

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