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Find the measure of a negative angle coterminal with 190∘190^\circ.\newline____∘^\circ

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Full solution

Q. Find the measure of a negative angle coterminal with 190∘190^\circ.\newline____∘^\circ
  1. Subtract multiples of 360°360°: To find a negative angle coterminal with 190°190°, we subtract multiples of 360°360° until we get a negative result.\newlineCalculation: 190°−360°=−170°190° - 360° = -170°.
  2. Check valid negative coterminal angle: Check if −170∘-170^\circ is within the range of a full circle (−360∘-360^\circ to 0∘0^\circ).\newlineCalculation: −170∘-170^\circ is greater than −360∘-360^\circ and less than 0∘0^\circ, so it's a valid negative coterminal angle.

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