The angle that is not coterminal with the other three coterminal angles is -490°.
To find the angle that is not coterminal with the other three angles, we need to determine which angle is not equal to any of the other angles when they are converted to their equivalent angles within one full revolution (360°).
To do this, we need to subtract or add multiples of 360° to each angle until we find one that is unique. Let's check each angle:
-130° + 360° = 230° (not equal to 290°, 590°, -490°)
290° + 360° = 650° (not equal to -130°, 590°, -490°)
590° - 360° = 230° (not equal to -130°, 290°, -490°)
-490° + 360° = -130° (equal to one of the other angles)
Therefore, the angle that is not coterminal with the other three coterminal angles is -490°.