Answer
$359^{\circ}$
Work Step by Step
The least integer multiple of $360^{\circ}$ greater than $361^{\circ}$ is
$2\cdot 360^{\circ}=720^{\circ}$
Add $720^{\circ}$ to $-361^{\circ}$ to obtain the angle of least positive measure.
$-361^{\circ}+720^{\circ}=359^{\circ}$
