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Find the measure of a negative angle coterminal with 120∘120^\circ. \newline____∘^\circ

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Full solution

Q. Find the measure of a negative angle coterminal with 120∘120^\circ. \newline____∘^\circ
  1. Subtract 360360° from 120120°: To find a negative angle coterminal with 120120°, subtract 360360° from 120120° because coterminal angles are separated by full rotations, which are 360°360°. Calculation: 120°−360°=−240°120° - 360° = -240°.
  2. Check validity of −240°-240°: Check if −240°-240° is within the range of a full negative rotation −360°-360°. It is, so −240°-240° is a valid negative coterminal angle for 120°120°.

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