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Find the measure of a negative angle coterminal with 290∘290^\circ. \newline____∘^\circ

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Full solution

Q. Find the measure of a negative angle coterminal with 290∘290^\circ. \newline____∘^\circ
  1. Subtract 360360°: To find a negative coterminal angle, subtract 360°360° from the given angle until the result is negative.\newlineCalculation: 290°−360°=−70°290° - 360° = -70°.
  2. Check Range: Check if −70∘-70^\circ is within the range of a full rotation (−360∘(-360^\circ to 0∘0^\circ).\newline−70∘-70^\circ is within this range, so it is a valid negative coterminal angle.

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