mikarineberger2006
mikarineberger2006 mikarineberger2006
  • 12-01-2022
  • Mathematics
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help please urgent please​

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Respuesta :

hochunyung94 hochunyung94
  • 12-01-2022

Answer:

30°

Step-by-step explanation:

From what I can picture, I suppose that ∠CDE is an exterior angle and is supplementary to ∠CDB.

Since ∠CDE is supplementary to ∠CDB, m∠CDB measures:

[tex]180-(7x-19)=199-7x[/tex]

And since the sum of interior angles of a triangle is 180°, we can write:

[tex](2x-1)+(199-7x)+(x+10)=180\\-4x+208=180\\-4x=-28\\x=7[/tex]

Substitute x back to ∠CDE:

[tex](7x-19)=(7(7)-19)\\=49-19\\=30[/tex]

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