The given angle is 642 degrees.
To find a coterminal angle we need to add or subtract by 360 degrees.
The angle of 642 degrees is positive and above 360 degrees.
So subtract 360 from 642 we get
[tex]642^o-360^o=282^o[/tex]If we subtract 360 again from 282, we will get a negative.
Hence the least positive measure coterminal with 642 degrees is 282 degrees.