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Help!! Need Some Homework Help ASAP!

Help!! Need Some Homework Help ASAP!-example-1

1 Answer

6 votes

Answer:

175°

Explanation:

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


\therefore m\angle ABC = m\angle ABD + m\angle CBD\\</p><p>\therefore (14x + 21)\degree = (2x + 3)\degree + 150\degree \\</p><p>\therefore (14x + 21)\degree = (2x + 153)\degree\\</p><p>\therefore 14x + 21 = 2x + 153\\</p><p>\therefore 14x - 2x = 153 - 21\\</p><p>\therefore 12x = 132\\</p><p>\therefore x = (132)/(12)\\</p><p>\therefore x = 11\\\\</p><p></p><p>m\angle ABC = (14x + 21)\degree\\</p><p>m\angle ABC = (14* 11+ 21)\degree\\</p><p>m\angle ABC = (154+ 21)\degree\\</p><p>\huge\red {\boxed {m\angle ABC = 175\degree}} \\

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