Question

Help!! Need Some Homework Help ASAP!

Answer 1

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}} \\`