Example Question - coterminal angle

Finding Coterminal Angle within 0° and 360°

Two angles are coterminal if they differ by a multiple of 360°. To find an angle θ coterminal with 1139° that lies between 0° and 360°, you can subtract 360° from 1139° repeatedly until the result is within the specified range. 1139° - 360° = 779° (first subtraction) 779° - 360° = 419° (second subtraction) 419° - 360° = 59° (third subtraction) 59° is the angle coterminal with 1139° that lies between 0° and 360°.