Respuesta :

Answer:

x=10

Step-by-step explanation:

We know that the sum of all these angles is 180°, so, we solve for [tex]x[/tex] using this information:

[tex](9x-16)+(3x+11)+(7x-5)=180\\19x-10=180\\19x=190\\x=10[/tex]

We can now use x to find the value of each angle:

[tex]9(10)-16=\\90-16\\=74\\\\[/tex]

[tex]3(10)+11\\30+11\\41[/tex]

[tex]7(10)-5\\=70-5\\=65[/tex]

Hope this helped! Have a good day.

Answer:

[tex]total \: angle \: for \: a \: triangle = 180 \\ then \: \\ 3x + 11 + 9x - 16 + 7x - 5 = 180 \\ 19x - 10 = 180 \\ 19x = 180 + 10 \\ 19x = 190 \\ x = \frac{190}{19} = 10 \\ thank \: yo[/tex]