Answer
Positive Coterminal Angle: $210^o$
Negative Coterminal Angle: $-510^o$
Refer to the image below for the drawing.
Work Step by Step
(refer to the attached image in the answer part above)
The angle is negative so from the positive x-axis (initial side is the blue segment), move 150 degrees clockwise (terminal side is the green segment).
To find a positive angle coterminal with the given angle, add 360 degrees to the angle to obtain:
$=-150^o + 360^o
\\= 210^o$
To find a negative angle coterminal with the given angle, subtract 360 degrees to the angle to obtain:
$=-150^o-360^o
\\=-510^o$
