Answer:
[tex]-50\degree[/tex] and [tex]670\degree[/tex]
Step-by-step explanation:
If two or more angles have the same terminal side when in standard position, then they are coterminal.
To find a positive angle that is coterminal with [tex]310\degree[/tex], we add [tex]360\degree[/tex], that is one complete positive revolution t get:
[tex]310\degree+360\degree=670\degree[/tex]
To find a negative angle that is coterminal with [tex]310\degree[/tex], we subtract [tex]360\degree[/tex], that is one complete negative revolution t get:
[tex]310\degree-360\degree=-50\degree[/tex]