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Find the measure of a negative angle coterminal with 160∘160^\circ. \newline____∘^\circ

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Full solution

Q. Find the measure of a negative angle coterminal with 160∘160^\circ. \newline____∘^\circ
  1. Subtract 360360° from 160160°: To find a negative angle coterminal with 160160°, subtract 360360° from 160160° because coterminal angles are separated by full rotations, which are 360360°.\newlineCalculation: 160°−360°=−200°160° - 360° = -200°.
  2. Check Validity of −200∘-200^\circ: Check if −200∘-200^\circ is within the range of negative angles (from 0∘0^\circ to −360∘-360^\circ).\newline−200∘-200^\circ is within this range, so it is a valid negative coterminal angle for 160∘160^\circ.

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