the angles have measured of what?

Answer:
38°, 142°
Step-by-step explanation:
[tex] m\angle 1= \frac{1}{2} \times (36\degree + 40\degree) [/tex]
[tex] m\angle 1= \frac{1}{2} \times 76\degree [/tex]
[tex] \red{\bold {m\angle 1= 38\degree}} [/tex]
[tex] m\angle 1+ m\angle 2= 180\degree[/tex]
(Linear pair angles)
[tex] 38\degree + m\angle 2= 180\degree[/tex]
[tex] m\angle 2= 180\degree-38\degree[/tex]
[tex] \purple {\bold {m\angle 2= 142\degree}} [/tex]