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Find the measure of a negative angle coterminal with 200∘200^\circ. \newline____∘^\circ

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Full solution

Q. Find the measure of a negative angle coterminal with 200∘200^\circ. \newline____∘^\circ
  1. Subtract multiples of 360°360°: To find a negative angle coterminal with 200°200°, we subtract multiples of 360°360° until we get a negative result.
  2. Calculate −160°-160°: 200°−360°=−160°200° - 360° = -160°.
  3. Check range of full circle: Check if −160∘-160^\circ is within the range of a full circle (−360∘(-360^\circ to 0∘0^\circ).
  4. Valid negative coterminal angle: −160°-160° is within the range, so it's a valid negative coterminal angle for 200°200°.

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