Respuesta :

Answer:

[tex]m < 1 = 116 \: degrees[/tex]

Step-by-step explanation:

To find m < 1 we have to first acknowledge that a triangle measures 180°. You should also note that a straight line also measures 180°. Therefore the third unknown angle in the triangle would be:

[tex]180 - (33 + 83 = 116) \\ 180 - 116 = 64\\ unknown \: angle \: is \: 64° \\ [/tex]

Since the unknown angle and m < 1 form a straight line then that means that they add together to make 180°. Hence

[tex]m < 1 = 180 - 64 \\ m < 1 = 116°[/tex]