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Find the measure of a negative angle coterminal with 140∘140^\circ. \newline____∘^\circ

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Full solution

Q. Find the measure of a negative angle coterminal with 140∘140^\circ. \newline____∘^\circ
  1. Subtract 360360° from 140140°: To find a negative angle coterminal with 140140°, subtract 360360° from 140140° because coterminal angles are separated by full rotations, which are 360°360°.\newlineCalculation: 140°−360°=−220°140° - 360° = -220°
  2. Check range for −220∘-220^\circ: Check if −220∘-220^\circ is within the range of a full negative rotation (−360∘-360^\circ to 0∘0^\circ).\newlineSince −220∘-220^\circ is greater than −360∘-360^\circ and less than 0∘0^\circ, it is a valid negative coterminal angle for 140∘140^\circ.

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